Rightmost Digit

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.
可以发现一个规律:
当   n = 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 28 29 30 31 ...
rdigit = 1 4 7 6 5 6 3 6 9   0   1   6  3   6   5   6   7   4  9  0   1   4   7   6   5   6   3   6  9   0    ...
所以是以20为周期的规律。
View Code
 1 #include<iostream> 

 2 using namespace std;

 3 int main ()

 4  {

 5     int test , n ; 

 6     int digit[25] = {0,1,4,7,6,5,6,3,6,9,0,1,6,3,6,5,6,7,4,9,0};

 7     cin>>test;

 8     while (test -- )

 9     {

10     cin>>n;

11     cout<<digit[n%20]<<endl;

12     }

13    return 0 ; }

 

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