#include <bits/stdc++.h>
#define NMAX 1000001
using namespace std;
ifstream fin("pinex.in");
ofstream fout("pinex.out");
long long a,t,b,i,n,j,nrp,v[101],prime[NMAX];
bool ciur[NMAX];
int main()
{
    prime[0]=prime[1]=1;
    for(i=2;i<=NMAX;i++)
    {
        if(ciur[i]==0)
        {
            prime[nrp++]=i;
            for(j=2*i;j<NMAX;j+=i)
                ciur[j]=1;
        }
    }
    fin>>t;
    while(t)
    {
        fin>>a>>b;
        t--;
        int k=0;
        int i=1;
        while(b>1&&prime[i]*prime[i]<=b)
        {
            if(b%prime[i]==0)
            {
                v[++k]=prime[i];
                while(b%prime[i]==0) b/=prime[i];
            }
            i++;
        }
        if(b>1) v[++k]=b;
        long long rez=a;
        for(i=1;i<(1LL<<k);i++)
        {
            int nrc=0;
            long long p=1;
            for(j=0;j<k;j++)
            {
                if(i&(1LL<<j))
                {
                    nrc++;
                    p*=v[j+1];
                }
            }
                if(nrc%2==1) rez=rez-a/p;
                else rez=rez+a/p;

        }
        fout<<rez<<'\n';
    }
    return 0;
}