/*
    Keep It Simple!
*/

#ifdef _MSC_VER
#define _CRT_SECURE_NO_WARNINGS
#endif

#include<cstdio>

long long C[80000], NrDiv, Div[80000];
bool viz[1000001];
long long T, A, B;

void Ciur()
{
	C[NrDiv++] = 2;
	for (int i = 3; i <= 1000001; i+=2)
	if (!viz[i])
	{
		C[NrDiv++] = i;
		for (int j = i; j <= 1000001; j+=i)
			viz[j] = 1;
	}
}

int main()
{
	freopen("pinex.in", "r", stdin);
	freopen("pinex.out", "w", stdout);
	Ciur();
	scanf("%lld", &T);
	while (T--)
	{
		scanf("%lld%lld", &A, &B);
		long long NrDivB = 0;
		for (int i = 0; i < NrDiv && C[i] * C[i] <= B; i++)
		{
			if (B%C[i] == 0)
			{
				Div[NrDivB++] = C[i];
				while (B%C[i] == 0) { B /= C[i]; }
			}
		}
		if (B > 1) Div[NrDivB++] = B;
		long long sign = 0, Final = 0, Jos = 1;
		for (int i = 1; i <= (1 << NrDivB); i++)
		{
			sign = 0,Jos = 1;
			for (int j = 0; j < NrDivB-1;j++)
			if (i&(1 <<j))
				Jos *= Div[j] , sign++;
			if (sign & 1)
				Final -= A / Jos;
			else
				Final += A / Jos;
		}
		printf("%lld\n", Final);
	}
	
	return 0;
	
}