Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

Constraints

* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50

Input

Input consists of several data sets. Each data set contains a and b separated by a single space in a line. The input terminates with EOF.

Output

For each data set, print GCD and LCM separated by a single space in a line.

Example

Input

8 6
50000000 30000000


Output

2 24
10000000 150000000
while True:
  try:
    m,n = map(int, input().split())
  except EOFError:
    break
  LCM = m * n
  if m < n:
    m,n = n,m

  # calculating GCD
  while True:
    if m % n == 0:
      GCD = n
      break
    else:
      m, n = n, m % n

  # calculating LCM
  LCM = LCM // GCD

  print(GCD,LCM)
