Today’s exercise appears from time to time on beginning-programmer message boards:

Write a program that, given n, returns the last non-zero digit of n! (factorial). For instance, 7! = 1 * 2 * 3 * 4 * 5 * 6 * 7 = 5040, and its last non-zero digit is 4.

Your task is to write a program to find the last non-zero digit of a factorial. When you are finished, you are welcome to read or run a suggested solution, or to post your own solution or discuss the exercise in the comments below.

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