Given two numbers, first calculate arithmetic mean and geometric mean of these two numbers. Using the arithmetic mean and geometric mean so calculated, find the harmonic mean between the two numbers.
Examples:
Input : a = 2
b = 4
Output : 2.666
Input : a = 5
b = 15
Output : 7.500
Arithmetic Mean: Arithmetic Mean ‘AM’ between two numbers a and b is such a number that AM-a = b-AM. Thus, if we are given these two numbers, the arithmetic mean AM = 1/2(a+b)
Geometric Mean: Geometric Mean ‘GM’ between two numbers a and b is such a number that GM/a = b/GM. Thus, if we are given these two numbers, the geometric mean GM = sqrt(a*b)
Harmonic Mean: Harmonic Mean ‘HM’ between two numbers a and b is such a number that 1/HM – 1/a = 1/b – 1/HM. Thus, if we are given these two numbers, the harmonic mean HM = 2ab/a+b
Now, we also know that 
C++
// C++ implementation of computation of // arithmetic mean, geometric mean // and harmonic mean #include <bits/stdc++.h> using namespace std; // Function to calculate arithmetic // mean, geometric mean and harmonic mean double compute(int a, int b) { double AM, GM, HM; AM = (a + b) / 2; GM = sqrt(a * b); HM = (GM * GM) / AM; return HM; } // Driver function int main() { int a = 5, b = 15; double HM = compute(a, b); cout << "Harmonic Mean between " << a << " and " << b << " is " << HM ; return 0; } |
Java
// Java implementation of computation of // arithmetic mean, geometric mean // and harmonic mean import java.io.*; class neveropen { // Function to calculate arithmetic // mean, geometric mean and harmonic mean static double compute(int a, int b) { double AM, GM, HM; AM = (a + b) / 2; GM = Math.sqrt(a * b); HM = (GM * GM) / AM; return HM; } // Driver function public static void main(String args[]) { int a = 5, b = 15; double HM = compute(a, b); String str = ""; str = str + HM; System.out.print("Harmonic Mean between " + a + " and " + b + " is " + str.substring(0, 5)); } } |
Python3
# Python 3 implementation of computation # of arithmetic mean, geometric mean # and harmonic mean import math # Function to calculate arithmetic # mean, geometric mean and harmonic mean def compute( a, b) : AM = (a + b) / 2 GM = math.sqrt(a * b) HM = (GM * GM) / AM return HM # Driver function a = 5b = 15HM = compute(a, b) print("Harmonic Mean between " , a, " and ", b , " is " , HM ) # This code is contributed by Nikita Tiwari. |
C#
// C# implementation of computation of // arithmetic mean, geometric mean // and harmonic mean using System; class neveropen { // Function to calculate arithmetic // mean, geometric mean and harmonic mean static double compute(int a, int b) { double AM, GM, HM; AM = (a + b) / 2; GM = Math.Sqrt(a * b); HM = (GM * GM) / AM; return HM; } // Driver function public static void Main() { int a = 5, b = 15; double HM = compute(a, b); Console.WriteLine("Harmonic Mean between " + a + " and " + b + " is " +HM); } } // This code is contributed by mits |
PHP
<?php // PHP implementation of computation of // arithmetic mean, geometric mean // and harmonic mean // Function to calculate arithmetic // mean, geometric mean and harmonic mean function compute( $a, $b) { $AM; $GM; $HM; $AM = ($a + $b) / 2; $GM = sqrt($a * $b); $HM = ($GM * $GM) / $AM; return $HM; } // Driver Code $a = 5; $b = 15; $HM = compute($a, $b); echo"Harmonic Mean between " .$a. " and " .$b. " is " .$HM ; return 0; // This code is contributed by nitin mittal. ?> |
Javascript
<script> // Javascript implementation of computation // of arithmetic mean, geometric mean // and harmonic mean // Function to calculate arithmetic // mean, geometric mean and harmonic mean function compute(a, b) { var AM = (a + b) / 2; var GM = Math.sqrt(a * b); var HM = (GM * GM) / AM; return HM; } // Driver Code var a = 5; var b = 15; var HM = compute(a, b) document.write("Harmonic Mean between " + a + " and " + b + " is " + HM.toFixed(3)); // This code is contributed by bunnyram19 </script> |
Output:
Harmonic Mean between 5 and 15 is 7.500
Time Complexity: O(log(a*b)), for using sqrt function where a and b represents the given integers.
Auxiliary Space: O(1), no extra space is required, so it is a constant.
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