#include <stdio.h>
#include <atcoder/all>
#include <bits/stdc++.h>
using namespace std;
using namespace atcoder;
using mint = modint998244353;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf32 1000000001
#define Inf64 1000000000000000000LL


int main(){
	
	int _t;
	cin>>_t;
	rep(_,_t){
		long long D,a,b;
		cin>>D>>a>>b;
		
		long long ans = 0;
		{
			long long ok = 0,ng = Inf32;
			while(ng-ok>1LL){
				long long mid = (ok+ng)/2;
				long long g= gcd(a,b);
				long long aa = a + (b/g)*mid;
				long long bb = b - (a/g)*mid;
				if(aa<0||aa>D||bb<0||bb>D){
					ng = mid;
				}
				else ok = mid;
			}
			long long g = gcd(a,b);
			long long aa = a + (b/g)*ok;
			long long bb = b - (a/g)*ok;
			ans= max(ans,abs(aa*b-bb*a));
		}
		{
			long long ok = 0,ng = Inf32;
			while(ng-ok>1LL){
				long long mid = (ok+ng)/2;
				long long g= gcd(a,b);
				long long aa = a - (b/g)*mid;
				long long bb = b + (a/g)*mid;
				if(aa<0||aa>D||bb<0||bb>D){
					ng = mid;
				}
				else ok = mid;
			}
			long long g = gcd(a,b);
			long long aa = a - (b/g)*ok;
			long long bb = b + (a/g)*ok;
			ans= max(ans,abs(aa*b-bb*a));
		}
		cout<<ans<<endl;
	}
	
	return 0;
}