2^x mod n = 1 【杭电-HDOJ-1395】 附题

/*

2^x mod n = 1

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)

Total Submission(s): 11800    Accepted Submission(s): 3673

Problem Description

Give a number n, find the minimum x(x>0) that satisfies 2^x mod n = 1.

Input

One positive integer on each line, the value of n.

Output

If the minimum x exists, print a line with 2^x mod n = 1.

Print 2^?

mod n = 1 otherwise.

You should replace x and n with specific numbers.

Sample Input

2

5

Sample Output

2^? mod 2 = 1

2^4 mod 5 = 1

*/

#include<stdio.h>
int main()
{
    int i,j,n,s;
    while(~scanf("%d",&n)){
      if(n==1||n%2==0)
        printf("2^? mod %d = 1\n",n);
      else{
          __int64  s=1;
          int i;
          for(i=1;;i++){
              s*=2;
              s%=n;        //控制s的值在一定范围内，乘2的同一时候对n取余
              if(s==1){    //  if(s%n==1)
                 break;
               }
           }
         printf("2^%d mod %d = 1\n",i,n);
      }
   }
 return 0;
}