#include<cstdio>
#define N 1000001
using namespace std;
const int N=1000001,M=20000000;
long long v[N],p[N],a[101],i,j,o,x,y,s,r,d,k,t,m,l,q,z;
char u[M];
int main()
{
freopen("pinex.in","r",stdin),freopen("pinex.out","w",stdout),fread(u,1,M,stdin);
for(m=N-1,i=2,o=A();i<=m;i++)
if(!v[i])
for(p[++d]=i,j=i*i;j<=m;j+=i)
v[j]=1;
while(o--)
{
for(x=A(),y=A(),l=x,k=0,i=1;i*i<=y;i++)
if(y%p[i]==0)
for(a[++k]=p[i];y%p[i]==0;y/=p[i]);
if(y>1)
a[++k]=y;
for(t=1<<k,i=1;i<t;i++)
{
for(r=1,s=j=0;j<k;j++)
if((i&(1<<j))>0)
s++,r*=a[j+1];
l+=((s%2==0?1:-1)*x/r);
}
S(l);
}
fwrite(u,1,z,stdout);
}