HDU——1061Rightmost Digit(高次方,找规律)
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Rightmost Digit
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 43847 Accepted Submission(s): 16487
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
234
Sample Output
76HintIn 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.
水题一道,1、5、0、6结尾的次方均为本身,其余可以看作4次一循环。
#include<iostream>#include<string>#include<algorithm>#include<cmath>using namespace std;typedef long long ll;ll power(const ll a,const ll n){ ll sum=1; for (int i=1; i<=n; i++) { sum=sum*a; } return sum;}int main(void){ ll n,t,ans; int tt; cin>>tt; while (tt--) { cin>>n; t=n%10; if(t==1||t==5||t==0||t==6) { cout<<t<<endl; continue; } else { ans=power(t,n%4+4)%10; cout<<ans<<endl; continue; } } return 0;}
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