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Re:求解10^x = 1 (mod 9*L/gcd(L,8))的满足x>0的最小解就是答案_证明内详

Posted by tanyin at 2009-08-07 16:35:05 on Problem 3696
In Reply To:Re:求解10^x = 1 (mod 9*L/gcd(L,8))的满足x>0的最小解就是答案_证明内详 Posted by:tanyin at 2009-08-07 16:29:17
  刚刚弄错了。。。我对这个兄弟的解题过程有点迷糊。。
欧拉公式不是: a^phi(m) = 1 mode(m)吗?
看他一个举例:

     比如:L=11;9L/gcd(L,8)=99;phi(9L/gcd(L,8))=60;解得10^2 =1 (mod 99),2是满足条件的最小的因子了
 
明明 phi(9L/gcd(L,8))=60 , 怎么就来了句“  10^2 =1 (mod 99),2是满足条件的最小的因子了”   按他的解题思路应该是60才对。。
   
   小生数论还没入门,请大牛们多多指教。。。

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