HDOJ 1061 Rightmost Digit

Rightmost Digit

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 30543    Accepted Submission(s): 11624

Problem Description

Given a positive integer N, you should output the most right digit of N^N.

 

 

Input

The input contains several test cases. The first line of the input is a single integer T which is the number of test cases. T test cases follow.
Each test case contains a single positive integer N(1<=N<=1,000,000,000).

 

 

Output

For each test case, you should output the rightmost digit of N^N.

 

 

Sample Input

2 3 4

 

 

Sample Output

7 6

本题的大意是输入一个1到1000000000的整数N，要求输出N^N次方后的最后一个数字.....

解题思路：因为数据很大，只需要输出最后一位，所以对每个数据先求余得到最后一位数字，然后找出其最后一位的周期即可....

/**************************************************
HDOJ 1061 已经AC
***************************************************/
#include <iostream>
using namespace std;
int main()
{
    int N,T;
    int round=0;
    int r[100]={0};
    int i=0;
    cin>>T;
    while(T--)
    {
        cin>>N;
        r[1]=N%10;//一定要对其求余
        r[2]=(N%10)*(N%10)%10;//求余后再相乘，然后再求余，因为如果直接相乘时碰到1000000000时会发生错误
        for(i=3;;i++)
        {
            r[i]=r[i-1]*(N%10)%10;
            if(r[i]==r[1])
            {round=i-1;break;}
        }
        if(N%round==0)
            cout<<r[round]<<endl;
        else cout<<r[N%round]<<endl;
    }
    //while(1);
    return 0;
}