17: recursion.cpp) Write two recursive integer functions. The first function should calculate factorials using the definition 0! = 1 and n! = (n-1)! x n. In addition, if n is too large it should be able to detect integer overflow before it happens. The next function should calculate the greatest common factor (gcf) of two numbers. If the second number is zero, then the gcf is the other number. Otherwise, the gcf of a and b is the same as the gcf of b and a mod b.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question

Please code using C++ and only use the headers <iostream> and <limits.h>. Any other additional headers will not be accpepted. Thank you!

17: recursion.cpp) Write two recursive integer functions.
The first function should calculate factorials using the
definition 0! = 1 and n! = (n-1)! x n. In addition, if n is too
large it should be able to detect integer overflow before it
happens. The next function should calculate the greatest
common factor (gcf) of two numbers. If the second number
is zero, then the gcf is the other number. Otherwise, the gcf
of a and b is the same as the gcf of b and a mod b.
Transcribed Image Text:17: recursion.cpp) Write two recursive integer functions. The first function should calculate factorials using the definition 0! = 1 and n! = (n-1)! x n. In addition, if n is too large it should be able to detect integer overflow before it happens. The next function should calculate the greatest common factor (gcf) of two numbers. If the second number is zero, then the gcf is the other number. Otherwise, the gcf of a and b is the same as the gcf of b and a mod b.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Introduction to Coding
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education