{"id":1128035,"date":"2025-01-08T20:16:16","date_gmt":"2025-01-08T12:16:16","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/1128035.html"},"modified":"2025-01-08T20:16:18","modified_gmt":"2025-01-08T12:16:18","slug":"python%e6%98%af%e5%a6%82%e4%bd%95%e5%ae%9e%e7%8e%b0int%e5%8f%af%e4%bb%a5%e6%97%a0%e9%99%90%e5%a4%a7%e7%9a%84","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/1128035.html","title":{"rendered":"python\u662f\u5982\u4f55\u5b9e\u73b0int\u53ef\u4ee5\u65e0\u9650\u5927\u7684"},"content":{"rendered":"

\"python\u662f\u5982\u4f55\u5b9e\u73b0int\u53ef\u4ee5\u65e0\u9650\u5927\u7684\"<\/p>\n

Python\u901a\u8fc7\u4f7f\u7528\u4efb\u610f\u7cbe\u5ea6\u7684\u6574\u6570\u7c7b\u578b\u5b9e\u73b0\u4e86int\u7c7b\u578b\u7684\u65e0\u9650\u5927\u3002<\/strong> \u8fd9\u610f\u5473\u7740Python\u7684int\u7c7b\u578b\u5e76\u4e0d\u50cf\u8bb8\u591a\u5176\u4ed6\u7f16\u7a0b\u8bed\u8a00\u4e2d\u7684\u6574\u6570\u7c7b\u578b\u90a3\u6837\u53d7\u5230\u56fa\u5b9a\u4f4d\u6570\u7684\u9650\u5236\u3002\u5728Python\u4e2d\uff0cint\u7c7b\u578b\u53ef\u4ee5\u6839\u636e\u9700\u8981\u52a8\u6001\u8c03\u6574\u5176\u5927\u5c0f\uff0c\u4ee5\u9002\u5e94\u4efb\u610f\u5927\u7684\u6574\u6570\u503c\u3002\u8fd9\u662f\u901a\u8fc7\u4f7f\u7528\u4e00\u79cd\u79f0\u4e3a\u201c\u5927\u6574\u6570\u201d\u6216\u201c\u957f\u6574\u6570\u201d\u7684\u6570\u636e\u7ed3\u6784\u6765\u5b9e\u73b0\u7684\u3002\u8fd9\u79cd\u6570\u636e\u7ed3\u6784\u5141\u8bb8Python\u5728\u5185\u5b58\u4e2d\u5b58\u50a8\u548c\u64cd\u4f5c\u975e\u5e38\u5927\u7684\u6574\u6570\uff0c\u800c\u4e0d\u4f1a\u53d7\u5230\u4f20\u7edf\u6574\u6570\u7c7b\u578b\u7684\u56fa\u5b9a\u4f4d\u6570\u9650\u5236\u3002<\/p>\n<\/p>\n

Python\u7684int\u7c7b\u578b\u5b9e\u73b0\u4e86\u5bf9\u5927\u6574\u6570\u7684\u652f\u6301\uff0c\u8fd9\u4e3b\u8981\u662f\u901a\u8fc7\u52a8\u6001\u5185\u5b58\u5206\u914d\u548c\u4f18\u5316\u7684\u7b97\u672f\u8fd0\u7b97\u6765\u5b9e\u73b0\u7684\u3002Python\u4f7f\u7528\u4e00\u79cd\u79f0\u4e3a\u201cKaratsuba\u7b97\u6cd5\u201d\u7684\u4e58\u6cd5\u7b97\u6cd5\u6765\u63d0\u9ad8\u5927\u6574\u6570\u4e58\u6cd5\u7684\u6548\u7387\u3002\u6b64\u5916\uff0cPython\u8fd8\u4f7f\u7528\u4e86\u4e00\u4e9b\u5176\u4ed6\u7684\u4f18\u5316\u6280\u672f\uff0c\u5982\u5feb\u901f\u5085\u91cc\u53f6\u53d8\u6362\uff08FFT\uff09\u6765\u63d0\u9ad8\u5927\u6574\u6570\u8fd0\u7b97\u7684\u6027\u80fd\u3002<\/p>\n<\/p>\n

\u4e00\u3001Python\u4e2d\u7684\u6574\u6570\u7c7b\u578b<\/h3>\n<\/p>\n

Python\u4e2d\u7684\u6574\u6570\u7c7b\u578b\u662f\u52a8\u6001\u7c7b\u578b\uff0c\u8fd9\u610f\u5473\u7740\u5b83\u4eec\u53ef\u4ee5\u6839\u636e\u9700\u8981\u589e\u957f\u548c\u7f29\u5c0f\u3002\u5728Python 2\u4e2d\uff0c\u5b58\u5728\u4e24\u79cd\u6574\u6570\u7c7b\u578b\uff1aint\u548clong\u3002int\u7c7b\u578b\u662f\u56fa\u5b9a\u5927\u5c0f\u7684\uff0c\u800clong\u7c7b\u578b\u662f\u4efb\u610f\u7cbe\u5ea6\u7684\u3002\u5728Python 3\u4e2d\uff0cint\u7c7b\u578b\u88ab\u7edf\u4e00\u4e3a\u4efb\u610f\u7cbe\u5ea6\uff0c\u8fd9\u610f\u5473\u7740\u6240\u6709\u7684\u6574\u6570\u90fd\u662f\u957f\u6574\u6570\u3002<\/p>\n<\/p>\n

int\u7c7b\u578b\u7684\u57fa\u672c\u7279\u6027<\/h4>\n<\/p>\n

\u5728Python 3\u4e2d\uff0c\u6240\u6709\u7684\u6574\u6570\u7c7b\u578b\u90fd\u662f\u957f\u6574\u6570\uff0c\u8fd9\u610f\u5473\u7740\u5b83\u4eec\u53ef\u4ee5\u5b58\u50a8\u4efb\u610f\u5927\u5c0f\u7684\u6574\u6570\u3002\u65e0\u8bba\u6574\u6570\u7684\u5927\u5c0f\u5982\u4f55\uff0cPython\u90fd\u4f1a\u81ea\u52a8\u8c03\u6574\u5176\u5927\u5c0f\u4ee5\u9002\u5e94\u5b58\u50a8\u548c\u8fd0\u7b97\u7684\u9700\u8981\u3002\u8fd9\u4f7f\u5f97Python\u7684\u6574\u6570\u7c7b\u578b\u975e\u5e38\u7075\u6d3b\u548c\u5f3a\u5927\uff0c\u80fd\u591f\u5904\u7406\u975e\u5e38\u5927\u7684\u6574\u6570\u503c\u800c\u4e0d\u4f1a\u6ea2\u51fa\u3002<\/p>\n<\/p>\n

\u52a8\u6001\u5185\u5b58\u5206\u914d<\/h4>\n<\/p>\n

Python\u901a\u8fc7\u52a8\u6001\u5185\u5b58\u5206\u914d\u6765\u5b9e\u73b0\u5bf9\u5927\u6574\u6570\u7684\u652f\u6301\u3002\u5f53\u4e00\u4e2a\u6574\u6570\u53d8\u5f97\u975e\u5e38\u5927\u65f6\uff0cPython\u4f1a\u81ea\u52a8\u5206\u914d\u66f4\u591a\u7684\u5185\u5b58\u6765\u5b58\u50a8\u8be5\u6574\u6570\u7684\u503c\u3002\u8fd9\u4f7f\u5f97Python\u7684\u6574\u6570\u7c7b\u578b\u80fd\u591f\u6839\u636e\u9700\u8981\u589e\u957f\u548c\u7f29\u5c0f\uff0c\u800c\u4e0d\u4f1a\u53d7\u5230\u56fa\u5b9a\u4f4d\u6570\u7684\u9650\u5236\u3002\u52a8\u6001\u5185\u5b58\u5206\u914d\u7684\u4e00\u4e2a\u91cd\u8981\u65b9\u9762\u662f\u5783\u573e\u56de\u6536\uff0c\u8fd9\u786e\u4fdd\u4e86\u672a\u4f7f\u7528\u7684\u5185\u5b58\u80fd\u591f\u88ab\u53ca\u65f6\u91ca\u653e\uff0c\u4ee5\u907f\u514d\u5185\u5b58\u6cc4\u6f0f\u3002<\/p>\n<\/p>\n

\u4e8c\u3001Karatsuba\u4e58\u6cd5\u7b97\u6cd5<\/h3>\n<\/p>\n

Karatsuba\u4e58\u6cd5\u7b97\u6cd5\u662f\u4e00\u79cd\u5feb\u901f\u4e58\u6cd5\u7b97\u6cd5\uff0c\u80fd\u591f\u663e\u8457\u63d0\u9ad8\u5927\u6574\u6570\u4e58\u6cd5\u7684\u6548\u7387\u3002\u4f20\u7edf\u7684\u4e58\u6cd5\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662fO(n^2)\uff0c\u800cKaratsuba\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662fO(n^1.585)\u3002\u8fd9\u4f7f\u5f97Karatsuba\u7b97\u6cd5\u5728\u5904\u7406\u5927\u6574\u6570\u4e58\u6cd5\u65f6\u6bd4\u4f20\u7edf\u7b97\u6cd5\u66f4\u9ad8\u6548\u3002<\/p>\n<\/p>\n

Karatsuba\u7b97\u6cd5\u7684\u57fa\u672c\u539f\u7406<\/h4>\n<\/p>\n

Karatsuba\u7b97\u6cd5\u901a\u8fc7\u5c06\u5927\u6574\u6570\u5206\u6210\u8f83\u5c0f\u7684\u90e8\u5206\uff0c\u5e76\u5bf9\u8fd9\u4e9b\u90e8\u5206\u8fdb\u884c\u9012\u5f52\u4e58\u6cd5\u8fd0\u7b97\u6765\u5b9e\u73b0\u5feb\u901f\u4e58\u6cd5\u3002\u5177\u4f53\u6765\u8bf4\uff0cKaratsuba\u7b97\u6cd5\u5c06\u4e24\u4e2a\u5927\u6574\u6570\u5206\u6210\u9ad8\u4f4d\u548c\u4f4e\u4f4d\u90e8\u5206\uff0c\u7136\u540e\u5bf9\u8fd9\u4e9b\u90e8\u5206\u8fdb\u884c\u9012\u5f52\u4e58\u6cd5\u8fd0\u7b97\u3002\u6700\u7ec8\uff0c\u901a\u8fc7\u5408\u5e76\u8fd9\u4e9b\u90e8\u5206\u7684\u7ed3\u679c\uff0c\u5f97\u5230\u5927\u6574\u6570\u7684\u4e58\u79ef\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u51cf\u5c11\u4e86\u4e58\u6cd5\u8fd0\u7b97\u7684\u6b21\u6570\uff0c\u4ece\u800c\u63d0\u9ad8\u4e86\u4e58\u6cd5\u7684\u6548\u7387\u3002<\/p>\n<\/p>\n

\u5728Python\u4e2d\u7684\u5e94\u7528<\/h4>\n<\/p>\n

Python\u5728\u5176\u6574\u6570\u7c7b\u578b\u7684\u5b9e\u73b0\u4e2d\u4f7f\u7528\u4e86Karatsuba\u7b97\u6cd5\u6765\u63d0\u9ad8\u5927\u6574\u6570\u4e58\u6cd5\u7684\u6548\u7387\u3002\u5f53\u4e24\u4e2a\u5927\u6574\u6570\u76f8\u4e58\u65f6\uff0cPython\u4f1a\u81ea\u52a8\u4f7f\u7528Karatsuba\u7b97\u6cd5\u6765\u8fdb\u884c\u4e58\u6cd5\u8fd0\u7b97\u3002\u8fd9\u4f7f\u5f97Python\u80fd\u591f\u9ad8\u6548\u5730\u5904\u7406\u5927\u6574\u6570\u4e58\u6cd5\uff0c\u4ece\u800c\u63d0\u9ad8\u6574\u4f53\u6027\u80fd\u3002<\/p>\n<\/p>\n

\u4e09\u3001\u5feb\u901f\u5085\u91cc\u53f6\u53d8\u6362\uff08FFT\uff09<\/h3>\n<\/p>\n

\u5feb\u901f\u5085\u91cc\u53f6\u53d8\u6362\uff08FFT\uff09\u662f\u4e00\u79cd\u9ad8\u6548\u7684\u7b97\u6cd5\uff0c\u7528\u4e8e\u8ba1\u7b97\u79bb\u6563\u5085\u91cc\u53f6\u53d8\u6362\uff08DFT\uff09\u548c\u5176\u9006\u53d8\u6362\u3002FFT\u5728\u5927\u6574\u6570\u8fd0\u7b97\u4e2d\u4e5f\u6709\u5e94\u7528\uff0c\u7279\u522b\u662f\u5728\u5927\u6574\u6570\u4e58\u6cd5\u4e2d\u3002\u901a\u8fc7\u4f7f\u7528FFT\uff0c\u53ef\u4ee5\u5c06\u5927\u6574\u6570\u4e58\u6cd5\u8f6c\u5316\u4e3a\u591a\u9879\u5f0f\u4e58\u6cd5\uff0c\u4ece\u800c\u63d0\u9ad8\u8fd0\u7b97\u6548\u7387\u3002<\/p>\n<\/p>\n

FFT\u7684\u57fa\u672c\u539f\u7406<\/h4>\n<\/p>\n

FFT\u901a\u8fc7\u5206\u6cbb\u6cd5\u5c06DFT\u7684\u8ba1\u7b97\u8fc7\u7a0b\u5206\u89e3\u4e3a\u8f83\u5c0f\u7684\u90e8\u5206\uff0c\u7136\u540e\u5bf9\u8fd9\u4e9b\u90e8\u5206\u8fdb\u884c\u9012\u5f52\u8ba1\u7b97\u3002\u5177\u4f53\u6765\u8bf4\uff0cFFT\u5c06\u539f\u59cb\u6570\u636e\u5206\u6210\u5947\u6570\u548c\u5076\u6570\u90e8\u5206\uff0c\u7136\u540e\u5bf9\u8fd9\u4e9b\u90e8\u5206\u8fdb\u884c\u9012\u5f52\u8ba1\u7b97\u3002\u6700\u7ec8\uff0c\u901a\u8fc7\u5408\u5e76\u8fd9\u4e9b\u90e8\u5206\u7684\u7ed3\u679c\uff0c\u5f97\u5230DFT\u7684\u7ed3\u679c\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u51cf\u5c11\u4e86\u8ba1\u7b97\u7684\u590d\u6742\u5ea6\uff0c\u4ece\u800c\u63d0\u9ad8\u4e86\u8ba1\u7b97\u6548\u7387\u3002<\/p>\n<\/p>\n

\u5728Python\u4e2d\u7684\u5e94\u7528<\/h4>\n<\/p>\n

\u5728Python\u4e2d\uff0cFFT\u4e3b\u8981\u7528\u4e8e\u63d0\u9ad8\u5927\u6574\u6570\u4e58\u6cd5\u7684\u6548\u7387\u3002\u901a\u8fc7\u4f7f\u7528FFT\uff0cPython\u53ef\u4ee5\u5c06\u5927\u6574\u6570\u4e58\u6cd5\u8f6c\u5316\u4e3a\u591a\u9879\u5f0f\u4e58\u6cd5\uff0c\u4ece\u800c\u663e\u8457\u51cf\u5c11\u8ba1\u7b97\u7684\u590d\u6742\u5ea6\u3002\u8fd9\u4f7f\u5f97Python\u80fd\u591f\u9ad8\u6548\u5730\u5904\u7406\u975e\u5e38\u5927\u7684\u6574\u6570\u4e58\u6cd5\u8fd0\u7b97\uff0c\u4ece\u800c\u63d0\u9ad8\u6574\u4f53\u6027\u80fd\u3002<\/p>\n<\/p>\n

\u56db\u3001Python\u4e2d\u7684\u5927\u6574\u6570\u8fd0\u7b97\u4f18\u5316<\/h3>\n<\/p>\n

\u9664\u4e86Karatsuba\u7b97\u6cd5\u548cFFT\uff0cPython\u8fd8\u4f7f\u7528\u4e86\u4e00\u4e9b\u5176\u4ed6\u7684\u4f18\u5316\u6280\u672f\u6765\u63d0\u9ad8\u5927\u6574\u6570\u8fd0\u7b97\u7684\u6027\u80fd\u3002\u8fd9\u4e9b\u6280\u672f\u5305\u62ec\uff1a<\/p>\n<\/p>\n

\u6a21\u62df\u9664\u6cd5\u548c\u6a21\u8fd0\u7b97<\/h4>\n<\/p>\n

Python\u5728\u5b9e\u73b0\u5927\u6574\u6570\u8fd0\u7b97\u65f6\uff0c\u4f7f\u7528\u4e86\u4e00\u4e9b\u4f18\u5316\u6280\u672f\u6765\u63d0\u9ad8\u9664\u6cd5\u548c\u6a21\u8fd0\u7b97\u7684\u6548\u7387\u3002\u5177\u4f53\u6765\u8bf4\uff0cPython\u4f7f\u7528\u4e86\u4e00\u79cd\u79f0\u4e3a\u201c\u6a21\u62df\u9664\u6cd5\u201d\u7684\u6280\u672f\u6765\u9ad8\u6548\u5730\u8fdb\u884c\u5927\u6574\u6570\u9664\u6cd5\u8fd0\u7b97\u3002\u6a21\u62df\u9664\u6cd5\u901a\u8fc7\u8fed\u4ee3\u903c\u8fd1\u7684\u65b9\u6cd5\uff0c\u9010\u6b65\u8ba1\u7b97\u51fa\u5546\u548c\u4f59\u6570\uff0c\u4ece\u800c\u63d0\u9ad8\u9664\u6cd5\u7684\u6548\u7387\u3002<\/p>\n<\/p>\n

\u4f4d\u8fd0\u7b97\u4f18\u5316<\/h4>\n<\/p>\n

Python\u8fd8\u4f7f\u7528\u4e86\u4e00\u4e9b\u4f4d\u8fd0\u7b97\u4f18\u5316\u6280\u672f\u6765\u63d0\u9ad8\u5927\u6574\u6570\u8fd0\u7b97\u7684\u6027\u80fd\u3002\u5177\u4f53\u6765\u8bf4\uff0cPython\u5728\u5b9e\u73b0\u5927\u6574\u6570\u7684\u52a0\u6cd5\u3001\u51cf\u6cd5\u3001\u4e58\u6cd5\u548c\u9664\u6cd5\u8fd0\u7b97\u65f6\uff0c\u4f7f\u7528\u4e86\u4e00\u4e9b\u4f4d\u8fd0\u7b97\u6280\u5de7\uff0c\u5982\u79fb\u4f4d\u8fd0\u7b97\u548c\u6309\u4f4d\u4e0e\u8fd0\u7b97\u3002\u8fd9\u4e9b\u4f4d\u8fd0\u7b97\u6280\u5de7\u80fd\u591f\u663e\u8457\u63d0\u9ad8\u5927\u6574\u6570\u8fd0\u7b97\u7684\u6548\u7387\uff0c\u4ece\u800c\u63d0\u9ad8\u6574\u4f53\u6027\u80fd\u3002<\/p>\n<\/p>\n

\u4e94\u3001Python\u7684\u5185\u5b58\u7ba1\u7406<\/h3>\n<\/p>\n

Python\u7684\u5185\u5b58\u7ba1\u7406\u662f\u5b9e\u73b0\u5927\u6574\u6570\u652f\u6301\u7684\u5173\u952e\u65b9\u9762\u4e4b\u4e00\u3002\u901a\u8fc7\u9ad8\u6548\u7684\u5185\u5b58\u7ba1\u7406\uff0cPython\u80fd\u591f\u52a8\u6001\u5206\u914d\u548c\u91ca\u653e\u5185\u5b58\uff0c\u4ece\u800c\u652f\u6301\u4efb\u610f\u5927\u5c0f\u7684\u6574\u6570\u5b58\u50a8\u548c\u8fd0\u7b97\u3002<\/p>\n<\/p>\n

\u5783\u573e\u56de\u6536<\/h4>\n<\/p>\n

Python\u4f7f\u7528\u5783\u573e\u56de\u6536\u673a\u5236\u6765\u81ea\u52a8\u7ba1\u7406\u5185\u5b58\u3002\u5783\u573e\u56de\u6536\u673a\u5236\u80fd\u591f\u53ca\u65f6\u91ca\u653e\u672a\u4f7f\u7528\u7684\u5185\u5b58\uff0c\u4ece\u800c\u907f\u514d\u5185\u5b58\u6cc4\u6f0f\u3002\u5177\u4f53\u6765\u8bf4\uff0cPython\u4f7f\u7528\u4e86\u4e00\u79cd\u79f0\u4e3a\u201c\u5f15\u7528\u8ba1\u6570\u201d\u7684\u5783\u573e\u56de\u6536\u673a\u5236\u3002\u5f53\u4e00\u4e2a\u5bf9\u8c61\u7684\u5f15\u7528\u8ba1\u6570\u4e3a\u96f6\u65f6\uff0cPython\u4f1a\u81ea\u52a8\u91ca\u653e\u8be5\u5bf9\u8c61\u5360\u7528\u7684\u5185\u5b58\u3002\u6b64\u5916\uff0cPython\u8fd8\u4f7f\u7528\u4e86\u4e00\u79cd\u79f0\u4e3a\u201c\u5faa\u73af\u5783\u573e\u56de\u6536\u201d\u7684\u673a\u5236\u6765\u5904\u7406\u5faa\u73af\u5f15\u7528\u7684\u60c5\u51b5\u3002<\/p>\n<\/p>\n

\u5185\u5b58\u6c60<\/h4>\n<\/p>\n

\u4e3a\u4e86\u63d0\u9ad8\u5185\u5b58\u5206\u914d\u548c\u91ca\u653e\u7684\u6548\u7387\uff0cPython\u4f7f\u7528\u4e86\u4e00\u79cd\u79f0\u4e3a\u201c\u5185\u5b58\u6c60\u201d\u7684\u6280\u672f\u3002\u5185\u5b58\u6c60\u901a\u8fc7\u9884\u5206\u914d\u4e00\u90e8\u5206\u5185\u5b58\uff0c\u5e76\u5728\u9700\u8981\u65f6\u4ece\u5185\u5b58\u6c60\u4e2d\u5206\u914d\u548c\u91ca\u653e\u5185\u5b58\uff0c\u4ece\u800c\u51cf\u5c11\u4e86\u5185\u5b58\u5206\u914d\u548c\u91ca\u653e\u7684\u5f00\u9500\u3002\u5185\u5b58\u6c60\u6280\u672f\u4f7f\u5f97Python\u80fd\u591f\u9ad8\u6548\u5730\u7ba1\u7406\u5185\u5b58\uff0c\u4ece\u800c\u63d0\u9ad8\u5927\u6574\u6570\u8fd0\u7b97\u7684\u6027\u80fd\u3002<\/p>\n<\/p>\n

\u516d\u3001Python\u4e2d\u7684\u5927\u6574\u6570\u5e93<\/h3>\n<\/p>\n

\u9664\u4e86\u5185\u7f6e\u7684int\u7c7b\u578b\uff0cPython\u8fd8\u63d0\u4f9b\u4e86\u4e00\u4e9b\u5927\u6574\u6570\u5e93\uff0c\u5982gmpy2\u548cdecimal\u3002\u8fd9\u4e9b\u5e93\u63d0\u4f9b\u4e86\u66f4\u591a\u7684\u5927\u6574\u6570\u8fd0\u7b97\u529f\u80fd\u548c\u66f4\u9ad8\u7684\u6027\u80fd\uff0c\u9002\u7528\u4e8e\u9700\u8981\u5904\u7406\u975e\u5e38\u5927\u6574\u6570\u7684\u5e94\u7528\u573a\u666f\u3002<\/p>\n<\/p>\n

gmpy2\u5e93<\/h4>\n<\/p>\n

gmpy2\u662f\u4e00\u4e2a\u9ad8\u6548\u7684\u5927\u6574\u6570\u5e93\uff0c\u57fa\u4e8eGNU MP\uff08GMP\uff09\u5e93\u5b9e\u73b0\u3002gmpy2\u63d0\u4f9b\u4e86\u9ad8\u6548\u7684\u5927\u6574\u6570\u52a0\u6cd5\u3001\u51cf\u6cd5\u3001\u4e58\u6cd5\u3001\u9664\u6cd5\u3001\u6a21\u8fd0\u7b97\u548c\u5e42\u8fd0\u7b97\u7b49\u529f\u80fd\u3002\u901a\u8fc7\u4f7f\u7528gmpy2\uff0c\u7528\u6237\u53ef\u4ee5\u9ad8\u6548\u5730\u5904\u7406\u975e\u5e38\u5927\u7684\u6574\u6570\uff0c\u4ece\u800c\u63d0\u9ad8\u5e94\u7528\u7684\u6027\u80fd\u3002<\/p>\n<\/p>\n

decimal\u5e93<\/h4>\n<\/p>\n

decimal\u5e93\u63d0\u4f9b\u4e86\u9ad8\u7cbe\u5ea6\u7684\u5341\u8fdb\u5236\u6570\u8fd0\u7b97\u529f\u80fd\uff0c\u9002\u7528\u4e8e\u9700\u8981\u9ad8\u7cbe\u5ea6\u8ba1\u7b97\u7684\u5e94\u7528\u573a\u666f\u3002decimal\u5e93\u652f\u6301\u4efb\u610f\u5927\u5c0f\u7684\u5341\u8fdb\u5236\u6570\u5b58\u50a8\u548c\u8fd0\u7b97\uff0c\u80fd\u591f\u5904\u7406\u975e\u5e38\u5927\u7684\u6574\u6570\u548c\u5c0f\u6570\u3002\u901a\u8fc7\u4f7f\u7528decimal\u5e93\uff0c\u7528\u6237\u53ef\u4ee5\u5b9e\u73b0\u9ad8\u7cbe\u5ea6\u7684\u6570\u503c\u8ba1\u7b97\uff0c\u4ece\u800c\u6ee1\u8db3\u7279\u5b9a\u5e94\u7528\u7684\u9700\u6c42\u3002<\/p>\n<\/p>\n

\u4e03\u3001\u5927\u6574\u6570\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u7684\u4f8b\u5b50<\/h3>\n<\/p>\n

Python\u7684\u5927\u6574\u6570\u652f\u6301\u5728\u8bb8\u591a\u5b9e\u9645\u5e94\u7528\u4e2d\u5177\u6709\u91cd\u8981\u610f\u4e49\u3002\u4ee5\u4e0b\u662f\u4e00\u4e9b\u5177\u4f53\u7684\u4f8b\u5b50\uff1a<\/p>\n<\/p>\n

\u5bc6\u7801\u5b66<\/h4>\n<\/p>\n

\u5728\u5bc6\u7801\u5b66\u4e2d\uff0c\u5927\u6574\u6570\u8fd0\u7b97\u662f\u8bb8\u591a\u52a0\u5bc6\u7b97\u6cd5\u7684\u6838\u5fc3\u3002\u4f8b\u5982\uff0cRSA\u52a0\u5bc6\u7b97\u6cd5\u4f9d\u8d56\u4e8e\u5927\u6574\u6570\u7684\u7d20\u6570\u5206\u89e3\u548c\u5e42\u6a21\u8fd0\u7b97\u3002Python\u7684\u5927\u6574\u6570\u652f\u6301\u4f7f\u5f97\u5f00\u53d1\u8005\u80fd\u591f\u65b9\u4fbf\u5730\u5b9e\u73b0\u548c\u6d4b\u8bd5\u5404\u79cd\u5bc6\u7801\u5b66\u7b97\u6cd5\uff0c\u4ece\u800c\u63d0\u9ad8\u7cfb\u7edf\u7684\u5b89\u5168\u6027\u3002<\/p>\n<\/p>\n

\u79d1\u5b66\u8ba1\u7b97<\/h4>\n<\/p>\n

\u5728\u79d1\u5b66\u8ba1\u7b97\u4e2d\uff0c\u8bb8\u591a\u8ba1\u7b97\u9700\u8981\u9ad8\u7cbe\u5ea6\u7684\u5927\u6574\u6570\u8fd0\u7b97\u3002\u4f8b\u5982\uff0c\u5728\u5929\u6587\u5b66\u4e2d\uff0c\u8ba1\u7b97\u5929\u4f53\u7684\u8f68\u9053\u548c\u4f4d\u7f6e\u9700\u8981\u9ad8\u7cbe\u5ea6\u7684\u5927\u6574\u6570\u8fd0\u7b97\u3002Python\u7684\u5927\u6574\u6570\u652f\u6301\u4f7f\u5f97\u79d1\u5b66\u5bb6\u80fd\u591f\u9ad8\u6548\u5730\u8fdb\u884c\u9ad8\u7cbe\u5ea6\u8ba1\u7b97\uff0c\u4ece\u800c\u63d0\u9ad8\u7814\u7a76\u7684\u51c6\u786e\u6027\u3002<\/p>\n<\/p>\n

\u91d1\u878d\u8ba1\u7b97<\/h4>\n<\/p>\n

\u5728\u91d1\u878d\u8ba1\u7b97\u4e2d\uff0c\u8bb8\u591a\u8ba1\u7b97\u9700\u8981\u9ad8\u7cbe\u5ea6\u7684\u6570\u503c\u8fd0\u7b97\u3002\u4f8b\u5982\uff0c\u5728\u80a1\u7968\u4ea4\u6613\u548c\u98ce\u9669\u7ba1\u7406\u4e2d\uff0c\u8ba1\u7b97\u6295\u8d44\u7ec4\u5408\u7684\u6536\u76ca\u548c\u98ce\u9669\u9700\u8981\u9ad8\u7cbe\u5ea6\u7684\u5927\u6574\u6570\u548c\u5c0f\u6570\u8fd0\u7b97\u3002Python\u7684\u5927\u6574\u6570\u652f\u6301\u4f7f\u5f97\u91d1\u878d\u673a\u6784\u80fd\u591f\u9ad8\u6548\u5730\u8fdb\u884c\u9ad8\u7cbe\u5ea6\u8ba1\u7b97\uff0c\u4ece\u800c\u63d0\u9ad8\u51b3\u7b56\u7684\u51c6\u786e\u6027\u3002<\/p>\n<\/p>\n

\u603b\u7ed3<\/h3>\n<\/p>\n

Python\u901a\u8fc7\u4f7f\u7528\u4efb\u610f\u7cbe\u5ea6\u7684\u6574\u6570\u7c7b\u578b\uff0c\u5b9e\u73b0\u4e86int\u7c7b\u578b\u7684\u65e0\u9650\u5927\u3002\u901a\u8fc7\u52a8\u6001\u5185\u5b58\u5206\u914d\u3001Karatsuba\u7b97\u6cd5\u3001\u5feb\u901f\u5085\u91cc\u53f6\u53d8\u6362\uff08FFT\uff09\u548c\u5176\u4ed6\u4f18\u5316\u6280\u672f\uff0cPython\u80fd\u591f\u9ad8\u6548\u5730\u5904\u7406\u5927\u6574\u6570\u8fd0\u7b97\u3002\u5185\u5b58\u7ba1\u7406\u548c\u5783\u573e\u56de\u6536\u673a\u5236\u786e\u4fdd\u4e86\u5185\u5b58\u7684\u9ad8\u6548\u5229\u7528\u3002\u6b64\u5916\uff0cPython\u8fd8\u63d0\u4f9b\u4e86\u4e00\u4e9b\u5927\u6574\u6570\u5e93\uff0c\u5982gmpy2\u548cdecimal\uff0c\u6ee1\u8db3\u4e0d\u540c\u5e94\u7528\u573a\u666f\u7684\u9700\u6c42\u3002Python\u7684\u5927\u6574\u6570\u652f\u6301\u5728\u5bc6\u7801\u5b66\u3001\u79d1\u5b66\u8ba1\u7b97\u548c\u91d1\u878d\u8ba1\u7b97\u7b49\u5b9e\u9645\u5e94\u7528\u4e2d\u5177\u6709\u91cd\u8981\u610f\u4e49\uff0c\u80fd\u591f\u663e\u8457\u63d0\u9ad8\u8ba1\u7b97\u7684\u7cbe\u5ea6\u548c\u6548\u7387\u3002<\/p>\n<\/p>\n

\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n

Python\u4e2d\u7684int\u7c7b\u578b\u662f\u5982\u4f55\u652f\u6301\u4efb\u610f\u5927\u5c0f\u7684\u6570\u503c\uff1f<\/strong>
Python\u7684int\u7c7b\u578b\u91c7\u7528\u4e86\u53ef\u53d8\u957f\u7684\u5b58\u50a8\u65b9\u5f0f\uff0c\u8fd9\u610f\u5473\u7740\u5b83\u4e0d\u53d7\u56fa\u5b9a\u5b57\u8282\u6570\u7684\u9650\u5236\u3002\u4e0e\u8bb8\u591a\u5176\u4ed6\u7f16\u7a0b\u8bed\u8a00\u4e0d\u540c\uff0cPython\u5728\u5185\u90e8\u4f7f\u7528\u4e00\u79cd\u79f0\u4e3a\u201c\u4efb\u610f\u7cbe\u5ea6\u6574\u6570\u201d\u7684\u673a\u5236\u6765\u5904\u7406\u6574\u6570\u3002\u8fd9\u4f7f\u5f97\u7528\u6237\u53ef\u4ee5\u81ea\u7531\u5730\u8fdb\u884c\u5927\u6570\u8fd0\u7b97\uff0c\u800c\u4e0d\u5fc5\u62c5\u5fc3\u6ea2\u51fa\u6216\u7cbe\u5ea6\u635f\u5931\u3002<\/p>\n

\u5728Python\u4e2d\u5904\u7406\u5927\u6574\u6570\u65f6\u662f\u5426\u4f1a\u5f71\u54cd\u6027\u80fd\uff1f<\/strong>
\u5904\u7406\u5927\u6574\u6570\u65f6\uff0c\u6027\u80fd\u786e\u5b9e\u53ef\u80fd\u53d7\u5230\u5f71\u54cd\uff0c\u56e0\u4e3aPython\u9700\u8981\u52a8\u6001\u5206\u914d\u5185\u5b58\u5e76\u6267\u884c\u66f4\u590d\u6742\u7684\u8ba1\u7b97\u3002\u7136\u800c\uff0cPython\u5185\u7f6e\u7684\u6574\u6570\u7c7b\u578b\u5df2\u7ecf\u9488\u5bf9\u5927\u6570\u8fdb\u884c\u4e86\u4f18\u5316\uff0c\u901a\u5e38\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u6027\u80fd\u7684\u5f71\u54cd\u662f\u53ef\u4ee5\u63a5\u53d7\u7684\u3002\u5bf9\u4e8e\u6781\u7aef\u7684\u6570\u503c\u8ba1\u7b97\uff0c\u7528\u6237\u53ef\u4ee5\u8003\u8651\u4f7f\u7528NumPy\u7b49\u5e93\u6765\u63d0\u9ad8\u6548\u7387\u3002<\/p>\n

\u5982\u4f55\u5728Python\u4e2d\u8fdb\u884c\u5927\u6574\u6570\u7684\u8fd0\u7b97\uff1f<\/strong>
\u5728Python\u4e2d\uff0c\u8fdb\u884c\u5927\u6574\u6570\u8fd0\u7b97\u975e\u5e38\u7b80\u5355\u3002\u7528\u6237\u53ea\u9700\u76f4\u63a5\u4f7f\u7528\u5e38\u89c4\u7684\u7b97\u672f\u8fd0\u7b97\u7b26\uff0c\u5982\u52a0\u6cd5\u3001\u51cf\u6cd5\u3001\u4e58\u6cd5\u548c\u9664\u6cd5\u3002Python\u4f1a\u81ea\u52a8\u5904\u7406\u6570\u503c\u5927\u5c0f\u7684\u95ee\u9898\uff0c\u65e0\u9700\u989d\u5916\u7684\u8bbe\u7f6e\u6216\u7279\u5b9a\u7684\u6570\u636e\u7c7b\u578b\u3002\u4f8b\u5982\uff0c\u7528\u6237\u53ef\u4ee5\u76f4\u63a5\u6267\u884ca = 10**100<\/code>\uff0c\u8ba1\u7b97\u51fa\u4e00\u4e2a\u4e00\u540e\u9762\u8ddf\u7740100\u4e2a\u96f6\u7684\u6574\u6570\uff0cPython\u4f1a\u6b63\u786e\u5904\u7406\u5e76\u5b58\u50a8\u8be5\u503c\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"Python\u901a\u8fc7\u4f7f\u7528\u4efb\u610f\u7cbe\u5ea6\u7684\u6574\u6570\u7c7b\u578b\u5b9e\u73b0\u4e86int\u7c7b\u578b\u7684\u65e0\u9650\u5927\u3002 \u8fd9\u610f\u5473\u7740Python\u7684int\u7c7b\u578b\u5e76\u4e0d\u50cf\u8bb8\u591a\u5176 […]","protected":false},"author":3,"featured_media":1128043,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[37],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1128035"}],"collection":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/comments?post=1128035"}],"version-history":[{"count":"1","href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1128035\/revisions"}],"predecessor-version":[{"id":1128046,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1128035\/revisions\/1128046"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/1128043"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=1128035"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=1128035"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=1128035"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}