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.
Addition of Two Numbers
Adding two numbers in programming is essentially the same as adding two numbers in general arithmetic. A significant difference is that in programming, you need to pay attention to the data type of the variable that will hold the sum of two numbers.
C++
C++ is a general-purpose hybrid language, which supports both OOPs and procedural language designed and developed by Bjarne Stroustrup. It began in 1979 as “C with Classes” at Bell Labs and first appeared in the year 1985 as C++. It is the superset of C programming language, because it uses most of the C code syntax. Due to its hybrid functionality, it used to develop embedded systems, operating systems, web browser, GUI and video games.
Please code using C++ and only use the headers <iostream> and <limits.h>. Any other additional headers will not be accpepted. Thank you!
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