\u5728\u56fe9\u6240\u793a\u7684\u54c8\u5e0c\u6811\u72b6\u6001\u4e0b\uff0c\u518d\u63d2\u5165\u4e00\u6761\u6570\u636e\u8bb0\u5f55\\((key=31)\\)\u3002\u5219\u4f1a\u53d1\u73b0\u8be5\u6570\u636e\u8bb0\u5f55\u8def\u5f84\u4e0a\u7684\u5b50\u8282\u70b9\u5747\u6709\u6570\u636e\u8bb0\u5f55\uff0c\u5df2\u7ecf\u6ca1\u6709\u4f4d\u7f6e\u7ed9\u4e88\u65b0\u63d2\u5165\u7684\u6570\u636e\uff0c\u8fd9\u79cd\u60c5\u51b5\u79f0\u4e3a\u6570\u636e\u63d2\u5165\u6ea2\u51fa\u3002<\/p>\n\n\n\n
\u5bf9\u4e8e\u6307\u5b9a\u7684\u9664\u6570\u5e8f\u5217 \u4e14\\(M=\\{m_i|m_i\u2208N^\u2217 \\}\\,(m_i>1,i\u2208N\u2026\u2026\u2217)\\)\u548c\u7ed3\u679c\u5e8f\u5217\\(R=\\{r_i|r_i\u2208N\\}\\,(i\u2208N^\u2217)\\) \uff0c\u5982\u679c\u63d2\u5165\u6570\u5217\u6709\u5982\u4e0b\u5f62\u5f0f\uff0c\u5219\u4f1a\u5bfc\u81f4\u6570\u636e\u63d2\u5165\u6ea2\u51fa\uff1a<\/p>\n\n\n\n
\\[K = \\{ k_1 m_1 + B_1(r_1), k_2 m_1 m_2 + B_2 (r_1, r_2), …… \\\\ k_n m_1 m_2 ……m_n + B_n(r_1, r_2, ……, r_n)\\}\\]<\/p>\n\n\n\n
\u5176\u4e2d\\(k_i \\in N\\)\u3002\\(B_i\\)\u5219\u662f\u6ee1\u8db3\u90e8\u5206\u4f59\u6570\u5e8f\u5217\u7684\u7279\u89e3\u3002<\/p>\n\n\n\n
\u51fa\u73b0\u6570\u636e\u63d2\u5165\u6ea2\u51fa\u7684\u6982\u7387\\(\\phi_m\\)\u4e3a\uff1a<\/p>\n\n\n\n
\\[\\phi_m=\\frac{1}{[\\frac{D}{m_1}]} \\cdot \\frac{1}{[\\frac{D}{m_1\\cdot m_2}]} \\cdot …… \\cdot \\frac{1}{[\\frac{D}{m_1 \\cdot m_2 …… \\cdot m_n}]} \\cdot \\frac{1}{D} \\cdot D \\\\ = \\frac{m_1}{D} \\cdot \\frac{m_1 \\cdot m_2}{D} \\cdot …… \\cdot \\frac{m_1 \\cdot m_2 \\cdot …… \\cdot m_n}{D}\\]<\/p>\n\n\n\n
\u4f8b\u5982\uff1a\u5f53\u9664\u6570\u6570\u5217\\(M=\\{2,3,5\\}\\)\u65f6\uff0c\u53ef\u4ee5\u5f97\u5230\u6570\u636e\u63d2\u5165\u4e00\u5904\u7684\u6982\u7387\\(\\phi_m\\)\u4e3a\uff1a<\/p>\n\n\n\n
\\[\\phi_m = \\frac{2}{30} \\cdot \\frac{2\\times 3}{30} \\cdot \\frac{2\\times 3 \\times 5}{30} \\cong 0.0133 \\]<\/p>\n\n\n\n
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