Write a program that uses the recursive function to calculate GCD by using Euclid's algorithm. a) Request integer values for a and b from the console in main (). b) The recursive function accepts integers a and b as input parameters. c) The function returns the GCD of a and b using Euclid's algorithm. d) The function prints statement to display the process (see output). e) Trace the recursive process for this function. Euclid's GCD Algorithm: a) GCD (a, b) b) GCD (a, 0) = a GCD (b, a mod b) Recall the process of thinking recursively. a) Determine the repetitive steps (recursive task). b) Determine a condition to end the repetition (base case). User input can be any content and it's bold and italicized for clarity. Example Output Enter two positive integers: 20 16 20 16 16 4 40 4

C++ Programming: From Problem Analysis to Program Design
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ISBN:9781337102087
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Chapter15: Recursion
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ET-575 - Recursion -
1.
Programming Exercises
Write a program that uses the recursive function to calculate GCD by
using Euclid's algorithm.
a) Request integer values for a and b from the console in main ().
b) The recursive function accepts integers a and b as input parameters.
c) The function returns the GCD of a and b using Euclid's algorithm.
d) The function prints statement to display the process (see output).
e) Trace the recursive process for this function.
Euclid's GCD Algorithm:
a) GCD (a, b) = GCD (b, a mod b)
b) GCD (a, 0) = a
Recall the process of thinking recursively.
a) Determine the repetitive steps (recursive task).
b) Determine a condition to end the repetition (base case).
User input can be any content and it's bold and italicized for clarity.
Example Output
Enter two positive integers: 20 16
20 16
16 4
40
4
Transcribed Image Text:ET-575 - Recursion - 1. Programming Exercises Write a program that uses the recursive function to calculate GCD by using Euclid's algorithm. a) Request integer values for a and b from the console in main (). b) The recursive function accepts integers a and b as input parameters. c) The function returns the GCD of a and b using Euclid's algorithm. d) The function prints statement to display the process (see output). e) Trace the recursive process for this function. Euclid's GCD Algorithm: a) GCD (a, b) = GCD (b, a mod b) b) GCD (a, 0) = a Recall the process of thinking recursively. a) Determine the repetitive steps (recursive task). b) Determine a condition to end the repetition (base case). User input can be any content and it's bold and italicized for clarity. Example Output Enter two positive integers: 20 16 20 16 16 4 40 4
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