Rightmost Digit
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 39554 Accepted Submission(s):
14930
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
6
快速幂的原理其实是同余定理 （a*b）%c=（（a%c）*（a%c））%c的实现过程
#include<stdio.h>
#include<string.h>
int f(int x)
{
int ans=1;
int y=x;
x=x%10;
while(y)
{
if(y&1)
ans=(ans*x)%10;
y/=2;
x=(x*x)%10;
}
return ans;
}
int main()
{
int n,m,j,i,t;
scanf("%d",&t);
while(t--)
{
scanf("%d",&n);
printf("%d
",f(n));
}
return 0;
}