ll@t;
rep(t){
	ll@d,@x,@y;
	if(x*y==0){
		wt((x+y)*d);
	}else{
		ll g=gcd(x,y);
		ll u=y/g;
		ll v=x/g;
		ll a=min(x/u,(d-y)/v);
		ll b=min((d-x)/u,y/v);
		wt(max(a,b)*(v*x+u*y));
	}
}