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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 16:45:03 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 16:35:05
> 还有要问下就是
     (10^x-1) = (9L/8)*p
     得到 
     (10^x-1) = 9 * L/(gcd(L,8)) * P/(gcd(P,8))
既然 L/(gcd(L,8))和   P/(gcd(P,8)) 都是整数就可以把9×P/(gcd(P,8))看成一个整数K
那么(10^x-1)= L/(gcd(L,8)) * k ,即(10^x-1)= 1 mode( L/(gcd(L,8)) )
   为什么还要乘以以个9  (10^x-1)= 1 mode( 9×L/(gcd(9×L,8)) ) ;
   

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