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
def gcd(a, b):
    if (a % b) == 0:
        return b
    return gcd(b, a%b)

def lcd(a, b):
    return a * b // gcd(a, b)


while True:
    try:
        nums = list(map(int, input().split()))
        print(gcd(nums[0], nums[1]), lcd(nums[0], nums[1]))

    except EOFError:
        break