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 get_gcd(a,b):
	if a > b: a, b = b, a
	if b % a == 0:
		return a
	else:
		return get_gcd(a, b % a)

def get_lcm(a,b,g):
	return a * b / g

while True:
	try:
		a,b = map(int, sorted(raw_input().split()))
		GCD = get_gcd(a,b)
		LCM = get_lcm(a,b,GCD)
		print "{} {}".format(GCD, LCM)
	except EOFError:
		break