Introduction to Programming using Python 1st Edition

Published by Pearson
ISBN 10: 0132747189
ISBN 13: 978-0-13274-718-9

Chapter 15 - Recursion - Programming Exercises - Page 523: 15.3

Answer

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Work Step by Step

# 15.3 (Compute greatest common divisor using recursion) The gcd(m, n) can also be # defined recursively as follows: # ■ If m % n is 0, gcd(m, n) is n. # ■ Otherwise, gcd(m, n) is gcd(n, m % n). # Write a recursive function to find the GCD. Write a test program that prompts the # user to enter two integers and displays their GCD. def gcd(m, n): if m % n == 0: return n return gcd(n, m % n) m, n = eval(input("Enter two numbers: ")) print("The GCD of", m, "and", n, "is", gcd(m, n))
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