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:
    a,b=map(int,input().split())
    if a<b:
      a,b=b,a
    s=b
    r=a%s
    while True:
      if r==0:
        G=s
        break
      else:
        s,r=r,s%r
    L=int((a*b)/G)
    print(G,L)
  except EOFError:
    break
