標籤:
The Euler function
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 5235 Accepted Submission(s): 2225
Problem Description The Euler function phi is an important kind of function in number theory, (n) represents the amount of the numbers which are smaller than n and coprime to n, and this function has a lot of beautiful characteristics. Here comes a very easy question: suppose you are given a, b, try to calculate (a)+ (a+1)+....+ (b)
Input There are several test cases. Each line has two integers a, b (2<a<b<3000000).
Output Output the result of (a)+ (a+1)+....+ (b)
Sample Input3 100
Sample Output3042 歐拉函數模板題,不能開兩個數組,會逾時。
#include <stdio.h>#include <string.h>#include <algorithm>#include <iostream>#include <math.h>using namespace std;typedef long long LL;const int N =3000005;LL euler[N];//LL sum[N];void getEuler(){ memset(euler,0,sizeof(euler)); euler[1] = 1; for(int i = 2; i <= N; i++){ if(!euler[i]) for(int j = i; j <= N; j+= i) { if(!euler[j]) euler[j] = j; euler[j] = euler[j]/i*(i-1); } //sum[i]=sum[i-1]+(LL)euler[i]; }}int main(){ getEuler(); int a,b; while(~scanf("%d%d",&a,&b)){ LL sum = 0; for(int i=a;i<=b;i++){ sum+=euler[i]; } printf("%lld\n",sum); } return 0;}
hdu 2824(歐拉函數)