#include <stdio.h>
#include <bits/stdc++.h>
#include <atcoder/all>
using namespace atcoder;
using mint = modint998244353;
using namespace std;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf32 1000000001
#define Inf64 8000000000000000001



int main(){
	
	int _t;
	cin>>_t;
	rep(_,_t){
		long long M,A,B,K;
		cin>>M>>A>>B>>K;
		long long ans = 0;
		if(A<K){
		}
		else if(A==K){
			ans = (M/A)-1 - ((M/A)*A/B);
			ans += M / lcm(A,B);
		}
		else{
			rep(__,2){
				auto ret = crt({0,K},{A,B});
				if(ret.second!=0){
					long long left = 0,right = Inf64;
					long long b = ret.second;
					long long a = ret.first;
					left = max({left,(A-a+b-1)/b,(B+K-a+b-1)/b});
					right = min({right,(M-a)/b,(M-a+K)/b});
					ans += max(0LL,right-left+1);
				}
				swap(A,B);
			}
		}
		cout<<ans<<endl;
	}
	
	return 0;
}