杭电1061

 

Rightmost Digit

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 26061    Accepted Submission(s): 10018

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

Hint

In the first case, 3 * 3 * 3 = 27, so the rightmost digit is 7. In the second case, 4 * 4 * 4 * 4 = 256, so the rightmost digit is 6.

 

 

AC代码如下：

 

#include <iostream>
using namespace  std;

int process(int n)
{
    int rDigit = n % 10 ; //最右边数字
    int len = 1 ; //循环的长度

    int tmp = rDigit * rDigit % 10 ;
    while (tmp != rDigit)
    {
        len ++ ;
        tmp = tmp * rDigit % 10 ;
    }

    int p = n % len ;
    p = (p + len - 1) % len ;

    tmp = rDigit ;
    for (int i = 0; i < p ; ++ i)
        tmp = tmp * rDigit % 10 ;

    return tmp ;
}

int main(int argc, char** argv)
{
    int caseNum ;
    cin >> caseNum ;
    for (int i = 0; i < caseNum ; ++ i)
    {
        int inValue ;
        cin >> inValue ;
        cout << process(inValue) << endl;
    }
    return 0 ;
}