#include<bits/stdc++.h>
using namespace std;
namespace my_std{
	#define ll long long
	#define bl bool
	ll my_pow(ll a,ll b,ll mod){
		ll res=1;
		if(!b) return 1;
		while(b){
			if(b&1) res=(res*a)%mod;
			a=(a*a)%mod;
			b>>=1;
		}
		return res;
	}
	ll qpow(ll a,ll b){
		ll res=1;
		if(!b) return 1;
		while(b){
			if(b&1) res*=a;
			a*=a;
			b>>=1;
		}
		return res;
	}
	#define db double
	#define pf printf
	#define pc putchar
	#define fr(i,x,y) for(register ll i=(x);i<=(y);i++)
	#define pfr(i,x,y) for(register ll i=(x);i>=(y);i--)
	#define go(u) for(ll i=head[u];i;i=e[i].nxt)
	#define enter pc('\n')
	#define space pc(' ')
	#define fir first
	#define sec second
	#define MP make_pair
	#define il inline
	#define inf 8e18
	#define random(x) rand()*rand()%(x)
	#define inv(a,mod) my_pow((a),(mod-2),(mod))
	il ll read(){
		ll sum=0,f=1;
		char ch=0;
		while(!isdigit(ch)){
			if(ch=='-') f=-1;
			ch=getchar();
		}
		while(isdigit(ch)){
			sum=sum*10+(ch^48);
			ch=getchar();
		}
		return sum*f;
	}
	il void write(ll x){
		if(x<0){
			x=-x;
			pc('-');
		}
		if(x>9) write(x/10);
		pc(x%10+'0');
	}
	il void writeln(ll x){
		write(x);
		enter;
	}
	il void writesp(ll x){
		write(x);
		space;
	}
}
using namespace my_std;
ll t;
ll solve(ll a,ll b,ll lima,ll limb,ll lim){
	if(a>b){
		swap(a,b);
		swap(lima,limb);
	}
	ll res=0;
	if(lima<a&&lima<lim) res=max(res,1ll);
	if(limb<b&&limb<lim) res=max(res,1ll);
	if(lima<a&&limb<b){
		ll tmp=limb/a;
		if(tmp){
			if(lim%b<tmp*a) res=max(res,solve(a,b-tmp*a,lima,limb-tmp*a,(lim/b)*(b-tmp*a)));
			else res=max(res,solve(a,b-tmp*a,lima,limb-tmp*a,lim-(lim/b+1)*tmp*a));
		}
		else if(max(lima,limb)<lim) res=max(res,2ll);
	}
	return res;
}
int main(){
	t=read();
	while(t--){
		ll n=read(),a=read(),b=read(),g=__gcd(a,b),d=a*b/g,ans=(n+a-1)/a+(n+b-1)/b-2*((n+d-1)/d);
		writeln(n-ans+solve(a,b,(n-1)%a+1,(n-1)%b+1,(n-1)%d+1));
	}
}
/*
2
5 2 3
10 7 2
ans:
3
6
*/