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Cod sursa(job #496594)
#include<cstdio>
#include<cstring>
#include<math.h>
#define LL long long
using namespace std;
bool ciur[1000010];
int prime[80000];
LL T,x[100];
void fa_ciur()
{
int i,j,lim=1000000;
for(i=4;i<=lim;i+=2)
ciur[i]=true;
prime[++prime[0]]=2; ciur[2]=false;
for(i=3;i<=lim;i+=2)
if(ciur[i]==false)
{
prime[++prime[0]]=i;
for(j=i+i+i;j<=lim;j=i+(i<<1))
ciur[j]=true;
}
}
void desc(LL b)
{
LL elf=1,d=prime[elf],lim=(LL)sqrt(b);
x[0]=0;
while(b>1 && d<=lim)
{
if(b%d==0)
{
x[++x[0]]=d;
while(b%d==0)
b/=d;
}
elf++; d=prime[elf];
}
if(b>1)
x[++x[0]]=b;
}
void solve(int n,int k)
{
int prod,num,i,j,ns=(1<<n)-1;
T=0;
for(i=1;i<=ns;i++)
{
prod=1; num=0;
for(j=0;j<n;j++)
if(i&(1<<j))
{
prod=prod*x[n-j];
num++;
}
if(num&1)
T=T+k/prod;
else
T=T-k/prod;
}
}
int main()
{
LL a,b;
int teste;
freopen("pinex.in","r",stdin);
freopen("pinex.out","w",stdout);
scanf("%d",&teste);
fa_ciur();
while(teste--)
{
scanf("%lld%lld",&a,&b);
desc(b);
solve(x[0],a);
printf("%lld\n",a-T);
}
return 0;
}