Use C++ to implement the following program about the Least Common Multiple (LCM). Do BOTH parts of the problem or you will lose points. Provide comments to explain each step.

a. Write a function that takes as a parameter a list (array) of 2 or more positive integers. Return the LCM of all elements in the list. For example, the LCM of 10 20 30 is 60.

b. Write a function that tests the above function by asking the user for input and displaying the output to screen. Your function should display the following menu:

1) Find the LCM of a series of numbers.

2) Quit.