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#include <bits/stdc++.h>
using namespace std;
ifstream f("pinex.in");
ofstream g("pinex.out");
#define ll long long
#define MAX_P 1000000
ll M, A, B, fact[32];
int fprim[80000];
bool prim[MAX_P];
void prec()
{
fill(prim + 2, prim + MAX_P, 1);
for(int i = 2; i < MAX_P; i++)
if(prim[i])
{
for(int j = 2 * i; j < MAX_P; j += i) prim[j] = false;
fprim[++fprim[0]] = i;
}
}
void solve()
{
ll 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;
}
}
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;
}
g << sol << '\n';
}
int main()
{
prec();
f >> M;
for (int i = 1; i <= M; i++)
{
f >> A >> B;
solve();
}
f.close();
g.close();
return 0;
}