#include <fstream>
#include <cmath>
#include <algorithm>
#include <cstring>
using namespace std;
#define FOR(i,a,b) for(int i = a; i<=b;i++)
#define MAX_P 1000000
long long int M, A, B, fact[30];
int fprim[80000];
bool prim[MAX_P];
void Ciur()
{
fill(prim + 2, prim + MAX_P, 1);
FOR(i,2,MAX_P-1)
if (prim[i])
{
for (int j = 2 * i; j < MAX_P; j += i)
prim[j] = false;
fprim[++fprim[0]] = i;
}
}
long long int Rezolva()
{
long long int t = 0, d = 0;
while (B > 1)
{
d++;
if (B % fprim[d] == 0)
{
fact[++t] = fprim[d];
while (B % fprim[d] == 0)
B /= fprim[d];
}
if (fprim[d] > sqrt(B) && B > 1)
{
fact[++t] = B;
B = 1;
}
}
long long int sol = A;
for (int i = 1; i < (1 << t); i++)
{
long long int 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;
}
return sol;
}
int main() {
ifstream fin("pinex.in");
ofstream fout("pinex.out");
Ciur();
fin>>M;
FOR(i,1,M)
{
fin>>A>>B;
fout<<Rezolva()<<'\n';
}
return 0;
}