from math import*
t=int(input())
for _ in range(t):
  d,x,y=map(int,input().split())
  if y==0:
    print(x*d)
    continue
  if x==0:
    print(y*d)
    continue
  g=gcd(x,y)
  ans=0
  for i,j in(-y//g,x//g),(y//g,-x//g):
    if i<0:
      m=x//abs(i)
      if j<0:
        m=min(m,y//abs(j))
      else:
        m=min(m,(d-y)//j)
    else:
      m=(d-x)//i
      if j<0:
        m=min(m,y//abs(j))
      else:
        m=min(m,(d-y)//j)
    bx,by=x+m*i,y+m*j
    ans=max(ans,abs(x*by-bx*y))
  print(ans)