GCD and LCM functions in Python

gcd_and_lcm.py

import math
import functools
# Greatest common divisor of more than 2 numbers.  Am I terrible for doing it this way?

def gcd(*numbers):
    """Return the greatest common divisor of the given integers"""
    return functools.reduce(math.gcd, numbers)

# Least common multiple is not in standard libraries? It's in gmpy, but this is simple enough:

def lcm(*numbers):
    """Return lowest common multiple."""
    def lcm(a, b):
        return (a * b) // math.gcd(a, b)
    return functools.reduce(lcm, numbers, 1)

# Assuming numbers are positive integers...