. Write a recursive function that takes a string as an input and returns the reverse of the string. 2.Write a recursive function rec_string that produces the output shown below for the corresponding function calls. Write a main function to test the function. Method call rec_string(‘abcde’), will produce the following output: * e de cde bcde abcde Method call rec_string(‘abc’), will produce the following output: * c bc abc 3. Write a recursive function for Euclid's algorithm to find the greatest common divisor (gcd) of two positive integers. gcd is the largest integer that divides evenly into both of them.

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
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1. Write a recursive function that takes a string as an input and returns the reverse of the string.

2.Write a recursive function rec_string that produces the output shown below for the corresponding function calls. Write a main function to test the function.

Method call rec_string(‘abcde’), will produce the following output: *
e
de

cde bcde abcde

Method call rec_string(‘abc’), will produce the following output: *
c
bc

abc

3. Write a recursive function for Euclid's algorithm to find the greatest common divisor (gcd) of two positive integers. gcd is the largest integer that divides evenly into both of them. For example, the gcd(102, 68) = 34. You may recall learning about the greatest common divisor when you learned to reduce fractions. For example, we can simplify 68/102 to 2/3 by dividing both numerator and denominator by 34, their gcd. Finding the gcd of huge numbers is an important problem that arises in many commercial applications. We can efficiently compute the gcd using the following property, which holds for positive integers p and q:

If p > q, the gcd of p and q is the same as the gcd of q and p % q.

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