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
题意:很简单,就是输出n^n的最后一个数字时什么。
思路:前面有过一个0-9的n次方的题目,HDOJ1097题,那一题中我用代码推出了循环节,这个题目,我用的循环节全为4了.
HDOJ1097题博客链接:http://blog.csdn.net/qq_26525215/article/details/50949847
import java.util.Scanner;
public class Main{
static long db[][] = new long[10][4];
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
dabiao();
// System.out.println(db[4][0]);
// System.out.println(db[4][3]);
//
long t = sc.nextLong();
while(t-->0){
int n = sc.nextInt();
int f=n%10;
int m=n%4;
//System.out.println(m);
m--;
if(m<0){
m=3;
}
System.out.println(db[f][m]);
}
}
private static void dabiao() {
for(int i=1;i<=9;i++){
for(int j=0;j<4;j++){
db[i][j]=dabiao(i,j);
//System.out.print(db[i][j]+" ");
}
//System.out.println();
}
}
private static long dabiao(long i, long j) {
long m=i;//4,3
for(int k=1;k<=j;k++){
m=(m*i)%10;
}
m=m%10;
return m;
}
}