首页 > 代码库 > Rightmost Digit

Rightmost Digit

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 6667 Accepted Submission(s): 1721
 
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
234
 
Sample Output
76
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.
 
Author
Ignatius.L
 

 思路: long long int 因为已知容易超出限制 ,所以此处一定要注意 ,另外,利用/2的方式进行 这样可以大大缩短程序运行时间。

技术分享
 1 #include<stdio.h>  2 //大数问题  3 long long  Solve(long long  n) 4 { 5      long long int count=n; 6      long long int result=1; 7      while(count) 8      { 9          if(count%2!=0)10          {11              result*=n;12            if(result>=10)13              result=result%10;14         }15         n*=n;16         n=n%10;       17          count/=2;18      }19      return result;20 }21 22 23 int main(int argc, char *argv[])24 {25     long long  T,N;26     scanf("%lld",&T);27     while(T--)28     {29         scanf("%lld",&N);30         printf("%lld\n",Solve(N));31         32     } 33     return 0;34 }
View Code

 

Rightmost Digit