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HDU - 1061 - Rightmost Digit (快速幂取模!)
Rightmost Digit
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 34329 Accepted Submission(s): 13091
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).
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 6HintIn 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.
Author
Ignatius.L
快速幂取模,不解释!
AC代码:
#include <cstdio> #include <cstring> #include <algorithm> #include <cmath> #include <iostream> #include <cstdlib> using namespace std; int qmi(int m) { int a = m%10, ans = 1; while(m) { if(m&1) ans = (ans*a)%10; a = (a*a)%10; m>>=1; } return ans%10; } int main() { int n, t; scanf("%d", &t); while(t--) { scanf("%d", &n); printf("%d\n", qmi(n)); } return 0; }
HDU - 1061 - Rightmost Digit (快速幂取模!)
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