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1. Introduction
Factorial, denoted as n!, is a fundamental mathematical operation, representing the product of all positive integers less than or equal to n. For instance, the factorial of 5 (5!) is 5 x 4 x 3 x 2 x 1 = 120. Computing factorials is a popular task in programming, serving as a means to understand control structures, particularly loops. In this post, we'll discuss a C++ program that calculates the factorial of a number without using recursion.
2. Program Overview
The program's logic is straightforward:
1. Prompt the user to input a number.
2. Use a loop to multiply numbers in decreasing order until 1.
3. Display the calculated factorial to the user.
3. Code Program
#include <iostream>
using namespace std;
int main() {
int num;
unsigned long long factorial = 1; // To hold larger factorial values
// Getting user input
cout << "Enter a positive integer: ";
cin >> num;
// Factorial calculation
for(int i = 1; i <= num; ++i) {
factorial *= i; // Multiplying each number with the result
}
cout << "Factorial of " << num << " = " << factorial;
return 0; // Signify successful program termination
}
Output:
For an input of 5, the program would output: "Factorial of 5 = 120"
4. Step By Step Explanation
1. Headers and Namespace: We commence by including the I/O stream library and establishing the use of the standard namespace.
2. Main Function: This is where our program starts. Within, we declare our variables: num for holding user input and factorial initialized to 1 for computing the factorial. We use unsigned long long for factorial to manage larger factorial values.
3. User Input: The program uses cout to prompt for a number and cin to receive the entered number.
4. Factorial Logic: Utilizing a for loop, we multiply numbers in descending order till 1. The multiplication accumulates in the factorial variable.
5. Displaying the Result: The program then uses cout to display the calculated factorial.
6. Program Termination: The main function concludes and signals successful termination with a return value of 0.
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