Calculate LCM from multiple numbers

lcm.py

#  I was helping my kid with his homework the other day.
#  He's shown an interest in programming, so we wrote this together.
#  Be sure to run this with python3, not python 2.

# 1. Get a list of numbers through user input, preventing non-integers and 0s as inputs
# 2. Create sets from each number factored out to the Nth, based on the largest number in the list
# 3. Get the intersection of the sets using and a little *args magic
# 4. Use min() on that intersection to determine the LCM.

def create_sets(nums):
    sets = []
    for num in nums:
        sets.append(set([num*i for i in range(1, max(nums)+1)]))
    prt_lcm(sets)


def get_inputs(user_input, numbers):
    import re
    if user_input.lower() == "r":
        create_sets(numbers)
    elif user_input == "0":
        print(colored("No zeros allowed.", color="yellow"))
        prt_rsort_list(numbers)
        user_input = input("Please enter a number greater than zero: ")
        get_inputs(user_input, numbers)
    else:
        regex = re.compile(r"[^0-9]")
        match = regex.search(user_input)
        if match or user_input == "":
            prt_rsort_list(numbers)
            user_input = input(
                "Oops!  Please enter a number or 'R' to run the LCM calculation: ")
            get_inputs(user_input, numbers)
        else:
            numbers.append(int(user_input))
            prt_rsort_list(numbers)
            user_input = input(
                "Enter another number, or 'R' to run the LCM calculation: ")
            get_inputs(user_input, numbers)


def prt_lcm(sets):
    lcm = min(set.intersection(*sets))
    if lcm:
        print(colored(f"The LCM is {lcm}.", color="red"))
    else:
        print("Oops! This should never happen.")


def prt_rsort_list(lst):
    lst.sort(reverse=True)
    print(colored(f"The current list of numbers is: {lst}.", color="cyan"))


from termcolor import colored
get_inputs(input("Please enter a number: "), [])