Online JudgeProblem SetAuthorsOnline ContestsUser
Web Board
Home Page
F.A.Qs
Statistical Charts
Problems
Submit Problem
Online Status
Prob.ID:
Register
Update your info
Authors ranklist
 Current Contest
Past Contests
Scheduled Contests
Award Contest
User ID:
Password:
  Register

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 majia5 at 2010-06-04 10:29:34 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 16:45:03 
>      (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)) ) ；
>    


9×L/(gcd(9×L,8))


(9,8) = 1,所以 (9L,8) = (L,8)
所以你那么写也是可以的吧
Followed by:
Post your reply here:
User ID:
Password:
Title:

Content:

Home Page   Go Back  To top

All Rights Reserved 2003-2013 Ying Fuchen,Xu Pengcheng,Xie Di
Any problem, Please Contact Administrator