Most frequent factor in a range of integers
You are given a range of numbers, from lower number to higher number (both inclusive). Consider all the factors of these numbers except 1, the task is to find the factor which appears the maximum number of times. If more than one number have maximum frequency than print anyone of them.
Examples:
Input : lower=10 higher=14 Output : The factor with maximum frequency is 2. Input : lower=11 higher=11 Output : The factor with maximum frequency is 11.
Explanation:
If we have a range of numbers, say 10 to 14. Then the factors other than 1 will be:
In the above case, frequency(2)= 3, which is maximum on comparing with other factors.
Approach:
1. If lower = higher, then all factors will have frequency 1. So we can print any number which is factor, since every number is a factor of itself so we print the same number.
2. Otherwise, we print ‘2’ as it will always be true for a range of numbers.
C++
// CPP program to find most common factor // in a range. #include <bits/stdc++.h> using namespace std; int mostCommon(int lower, int higher) { // Check whether lower number // and higher number are same if (lower == higher) return lower; else return 2; } // Driver Code int main() { int lower = 10; // Lower number int higher = 20; // Higher number printf("The most frequent factor %d\n", mostCommon(lower, higher)); return 0; } |
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Java
// Java program to find most common factor // in a range. public class GfG { public static int mostCommon(int lower, int higher) { // Check whether lower number // and higher number are same if (lower == higher) return lower; else return 2; } // Driver code public static void main(String []args) { int lower = 10; // Lower number int higher = 20; // Higher number System.out.println("The most frequent factor " + mostCommon(lower, higher)); } } // This code is contributed by Rituraj Jain |
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Python 3
# Python 3 program to find most # common factor in a range. def mostCommon( lower, higher): # Check whether lower number # and higher number are same if (lower == higher): return lower else: return 2 # Driver Code lower = 10 # Lower number higher = 20 # Higher number print("The most frequent factor", mostCommon(lower, higher)) # This code is contributed by ash264 |
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C#
// C# program to find most common factor // in a range. using System; class GFG { static int mostCommon(int lower, int higher) { // Check whether lower number // and higher number are same if (lower == higher) return lower; else return 2; } // Driver Code public static void Main() { int lower = 10; // Lower number int higher = 20; // Higher number Console.WriteLine("The most frequent factor " + mostCommon(lower, higher)); } } // This code is contributed // by Akanksha Rai |
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PHP
<?php // PHP program to find most common // factor in a range. function mostCommon($lower, $higher) { // Check whether lower number // and higher number are same if ($lower == $higher) return $lower; else return 2; } // Driver Code $lower = 10; // Lower number $higher = 20; // Higher number echo "The most frequent factor ". mostCommon($lower, $higher) . "\n"; // This code is contributed // by Akanksha Rai ?> |
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Output:
The most frequent factor 2
Time Complexity: O(1)
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