#include <bits/stdc++.h>
using namespace std;
using LL = long long;
LL exgcd(LL a, LL b, LL &x, LL &y) {
    if (not b)
        return x = 1, y = 0, a;
    LL d = exgcd(b, a % b, x, y), t = x;
    return x = y, y = t - a / b * y, d;
};
int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int t;
    for (cin >> t; t; t -= 1) {
        LL M, A, B, K;
        cin >> M >> A >> B >> K;
        cout << [&]() {
            if (K > A) {
                return 0LL;
            }
            if (K == A) {
                M = M / A * A;
                return M / A - 1 - M / B + M / lcm(A, B);
            }
            LL x, y, ans = 0;
            LL d = exgcd(B, A, x, y);
            if (K % d == 0) {
                LL rm = lcm(A, B) / B;
                LL m = ((K / d) * x % rm + rm) % rm;
                ans += M / B / rm + (m <= M / B % rm);
            }
            if ((A - K) % d == 0) {
                LL rm = lcm(A, B) / B;
                LL m = (((A - K) / d) * x % rm + rm) % rm;
                ans += M / B / rm + (m <= M / B % rm);
                if (M / B / rm + (m <= M / B % rm)) {
                    LL z = M / B;
                    if (z % rm >= m) {
                        z = z / rm * rm + m;
                    } else {
                        z = (z / rm - 1) * rm + m;
                    }
                    z *= B;
                    z = (z + A - 1) / A * A;
                    if (z > M) {
                        ans -= 1;
                    }
                }
            }
            return ans;
        }() << "\n";
    }
}