The Euler function
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 5917 Accepted Submission(s): 2498
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
#include<stdio.h>
#include<string.h>
#define LL long long
LL p[3000010];
void get()
{
memset(p,0,sizeof(p));
for(int i=2;i<3000010;i++)
{
if(!p[i])
for(int j=i;j<3000010;j+=i)
{
if(!p[j])
p[j]=j;
p[j]=p[j]*(i-1)/i;
}
}
for(int i=3;i<3000010;i++)
p[i]+=p[i-1];
}
int main()
{
int a,b;
get();
//printf("%lld\n",p[3]);
while(~scanf("%d%d",&a,&b))
{
printf("%lld\n",p[b]-p[a-1]);
}
return 0;
}
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