from math import gcd

mod = 998244353

for _ in range(int(input())):
	X, A, B = map(int, input().split())
	A, B = min(A, B), max(A, B)
	G = gcd(A, B)
	L = A * B // G
	mx = (X + L - 1) // L * L
	ca = (X + A - 1) // A * A
	cb = (X + B - 1) // B * B
	ans = 1
	if X != cb:
		ans += 1
	if X != ca and ca < cb:
		ans += 1
	ans += (mx - cb) // B * 2
	print(ans)