可装入长方体的最长杆的长度

给定长方体的长度、宽度和高度，任务是找到可以放入长方体的最长杆的长度。
例子：

Input: length = 12, breadth = 9, height = 8
Output: 17

Input: length = 22, breadth = 19, height = 8
Output: 30.1496

说明：图中

GH = length, GF = breadth, FB= height

最长杆的长度是 BH。因此，为了计算 BH，我们可以在三角形 BHF 中应用勾股定理。从三角形 HGF 我们可以计算出 FH 的长度。

得到 FH 的长度后，我们可以使用三角形 BHF 中的毕达哥拉斯定理找到 BH 的长度。

下面是上述方法的实现：

C++

// C++ program to find the longest rod
// that can fit in a cuboid
#include 
using namespace std;
 
// Function to find the length
double longestRodInCuboid(int length,
                        int breadth, int height)
{
    double result;
    int temp;
 
    // temporary variable to hold
    // the intermediate result
    temp = length * length + breadth * breadth
           + height * height;
 
    // length of longest rod is calculated
    // using square root function
    result = sqrt(temp);
 
    return result;
}
 
// Driver code
int main()
{
    int length = 12, breadth = 9, height = 8;
 
    // calling longestRodInCuboid() function to
    // get the length of longest rod
    cout << longestRodInCuboid(length, breadth, height);
 
    return 0;
}

Java

// Java program to find the longest
// rod that can fit in a cuboid
class GFG
{
 
// Function to find the length
static double longestRodInCuboid(int length,
                                 int breadth,
                                 int height)
{
    double result;
    int temp;
     
    // temporary variable to hold
    // the intermediate result
    temp = length * length + breadth *
           breadth + height * height;
     
    // length of longest rod is calculated
    // using square root function
    result = Math.sqrt(temp);
     
    return result;
}
 
// Driver Code
public static void main(String[] args)
{
    int length = 12,
        breadth = 9,
        height = 8;
 
    // calling longestRodInCuboid()
    // function to get the length
    // of longest rod
    System.out.println((int)longestRodInCuboid(length,
                                    breadth, height));
}
}
 
// This code is contributed by ChitraNayal

Python 3

# Python 3 program to find the longest rod
# that can fit in a cuboid
 
# from math lib. import everything
from math import *
 
# Function to find the length
def longestRodInCuboid(length, breadth, height) :
 
    # temporary variable to hold
    # the intermediate result
    temp = length * length + breadth  * breadth + height * height
 
    #  length of longest rod is calculated
    # using square root function
    result = sqrt(temp)
 
    return result
 
 
# Driver Code
if __name__ == "__main__" :
 
    length, breadth, height = 12, 9, 8
 
    # calling longestRodInCuboid() function to
    # get the length of longest rod
    print(longestRodInCuboid(length, breadth, height))
 
 
# This code is contributed by ANKITRAI1

C#

// C# program to find the longest
// rod that can fit in a cuboid
using System;
class GFG
{
 
// Function to find the length
static double longestRodInCuboid(int length,
                                int breadth,
                                int height)
{
    double result;
    int temp;
     
    // temporary variable to hold
    // the intermediate result
    temp = length * length + breadth *
        breadth + height * height;
     
    // length of longest rod is calculated
    // using square root function
    result = Math.Sqrt(temp);
     
    return result;
}
 
// Driver Code
public static void Main()
{
    int length = 12,
        breadth = 9,
        height = 8;
 
    // calling longestRodInCuboid()
    // function to get the length
    // of longest rod
    Console.WriteLine((int)longestRodInCuboid(length,
                                    breadth, height));
}
}
 
// This code is contributed by inder_verma..

Javascript

 
// JavaScript program to find the longest rod
// that can fit in a cuboid
 
// Function to find the length
function longestRodInCuboid(length, breadth, height)
{
    let result;
    let temp;
 
    // temporary variable to hold
    // the intermediate result
    temp = length * length + breadth * breadth
        + height * height;
 
    // length of longest rod is calculated
    // using square root function
    result = Math.sqrt(temp);
 
    return result;
}
 
// Driver code
 
    let length = 12, breadth = 9, height = 8;
 
    // calling longestRodInCuboid() function to
    // get the length of longest rod
    document.write(longestRodInCuboid(length, breadth,
                                      height));
 
 
// This code is contributed by Surbhi Tyagi.
 

输出：

17

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