hdu 2824 The Euler function

The Euler function

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 5028    Accepted Submission(s): 2123

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 Input

3 100

 

 

Sample Output

3042

 题意：求a到b之间的每个数的欧拉函数的和

#include<stdio.h>
#include<string.h>
#include<cstdio> 
#include<string>
#include<math.h>
#include<algorithm>
#define LL long long
#define PI atan(1.0)*4
#define DD double
#define MAX 3000010
#define mod 100
#define dian 1.000000011
#define INF 0x3f3f3f
using namespace std;
LL s[MAX],a[MAX];
void el()
{
	LL i,j;
	for(i=2;i<MAX;i++)
	{
		if(!a[i])
		{
			for(j=i;j<MAX;j+=i)
			{
				if(!a[j]) a[j]=j;
				a[j]=a[j]/i*(i-1);
			}
		}
		a[i]+=a[i-1];
	}
}
int main()
{
	LL n,m,j,i,t;
	el();
	while(scanf("%lld%lld",&n,&m)!=EOF)
	{
		t=a[m]-a[n-1];
		printf("%lld\n",t);
	}
	return 0;
}