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杭电 HDU ACM 1395 2^x mod n = 1

时间:2015-04-05 09:06:40      阅读:104      评论:0      收藏:0      [点我收藏+]

标签:acm   c++   杭电   算法   编程   

2^x mod n = 1

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 13610    Accepted Submission(s): 4208


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
 

Author
MA, Xiao
 对x递增,每步取模,ls数组记录是否此余数出现过,如果出现过,那么接下来必将循环,所以出现重复即跳出即可。
#include<iostream>
using namespace std;
int main()
{
	int n,i,j;
	while(cin>>n)
	{
		int ls[10000];int sum=1;
		memset(ls,0,sizeof(ls));
		for(i=1; ;i++)
		{
			sum*=2;
			sum%=n;
			
			if(sum==1)
			{
				cout<<"2^"<<i<<" mod "<<n<<" = 1"<<endl;
				break;
			}
				
			 if(ls[sum])
			 {
				 cout<<"2^? mod "<<n<<" = "<<"1"<<endl;
				 break;
			 }
			 ls[sum]=1;
		}
	}
	return 0;
}


杭电 HDU ACM 1395 2^x mod n = 1

标签:acm   c++   杭电   算法   编程   

原文地址:http://blog.csdn.net/lsgqjh/article/details/44876899

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