#include <bits/stdc++.h>
#define ll long long
using namespace std;
ifstream fin("pinex.in");
ofstream fout("pinex.out");
ll M, A, B, fact[30];

void solve() {
    ll t = 0, d = 2;
    while (B > 1) {
        if (B % d == 0) {
            fact[++t] = d;
            while (B % d == 0)
            B /= d;
        }
        if (d > sqrt(B) && B > 1) {
            fact[++t] = B;
            B = 1;
        }
        if (d == 2) d++;
        else d += 2;
    }

    ll sol = A;
    for (int i = 1; i < (1 << t); i++) {
        ll nr = 0, prod = 1;
        for (int j = 0; j < t; j++)
            if ((1 << j) & i) {
                prod = 1LL * prod * fact[j + 1];
                nr++;
            }

        if (nr % 2) nr = -1;
        else nr = 1;

        sol = sol + 1LL * nr * A / prod;
    }

    fout<<sol<<'\n';
}

int main() {
    fin>>M;
    for (int i = 1; i <= M; i++) {
        fin>>A>>B;
        solve();
    }
    return 0;
}