打印 N 个数字,这样他们的产品就是一个完美的立方体

原文:https://www . geeksforgeeks . org/print-n-numbers-so-他们的产品是一个完美的立方体/

给定一个数字 N ,任务是找到不同的 N 数字,这样他们的产品就是一个完美立方体举例:

输入: N = 3 输出: 1,8,27 解释: 输出数的乘积= 1 * 8 * 27 = 216,是 6 的完美立方(6 3 = 216) 输入: N = 2 输出: 1 8 解释:T20

方法:解决方案基于 的事实

第一个‘N’个完美立方数的乘积永远是一个完美立方。

因此,前 N 个自然数的完美立方体将被打印为输出。 例如:

For N = 1 => [1]
    Product is 1
    and cube root of 1 is also 1

For N = 2 => [1, 8]
    Product is 8
    and cube root of 8 is 2

For N = 3 => [1, 8, 27]
    Product is 216
    and cube root of 216 is 6

and so on

以下是上述方法的实现:

C++

// C++ program to find N numbers such that
// their product is a perfect cube

#include <bits/stdc++.h>
using namespace std;

// Function to find the N numbers such
//that their product is a perfect cube
void findNumbers(int N)
{
    int i = 1;

    // Loop to traverse each
//number from 1 to N
    while (i <= N) {

// Print the cube of i
//as the ith term of the output
        cout << (i * i * i)
             << " ";

        i++;
    }
}

// Driver Code
int main()
{
    int N = 4;

    // Function Call
    findNumbers(N);
}

Java 语言(一种计算机语言,尤用于创建网站)

// Java program to find N numbers such that
// their product is a perfect cube
import java.util.*;

class GFG
{

// Function to find the N numbers such
//that their product is a perfect cube
static void findNumbers(int N)
{
    int i = 1;

    // Loop to traverse each
    //number from 1 to N
    while (i <= N) {

        // Print the cube of i
        //as the ith term of the output
        System.out.print( (i * i * i)
            + " ");

        i++;
    }
}

// Driver Code
public static void main (String []args)
{
    int N = 4;

    // Function Call
    findNumbers(N);
}
}

// This code is contributed by chitranayal

Python 3

# Python3 program to find N numbers such that
# their product is a perfect cube

# Function to find the N numbers such
# that their product is a perfect cube
def findNumbers(N):
    i = 1

    # Loop to traverse each
    # number from 1 to N
    while (i <= N):

        # Print the cube of i
        # as the ith term of the output
        print((i * i * i), end=" ")

        i += 1

# Driver Code
if __name__ == '__main__':
    N = 4

    # Function Call
    findNumbers(N)

# This code is contributed by mohit kumar 29

C

// C# program to find N numbers such that
// their product is a perfect cube
using System;

class GFG
{

// Function to find the N numbers such
//that their product is a perfect cube
static void findNumbers(int N)
{
    int i = 1;

    // Loop to traverse each
    //number from 1 to N
    while (i <= N) {

        // Print the cube of i
        //as the ith term of the output
        Console.Write( (i * i * i)
            + " ");

        i++;
    }
}

// Driver Code
public static void Main (string []args)
{
    int N = 4;

    // Function Call
    findNumbers(N);
}
}

// This code is contributed by Yash_R

java 描述语言

<script>
// JavaScript program to find N numbers such that
// their product is a perfect cube

// Function to find the N numbers such
//that their product is a perfect cube
function findNumbers(N)
{
    let i = 1;

    // Loop to traverse each
    //number from 1 to N
    while (i <= N) {

    // Print the cube of i
    //as the ith term of the output
        document.write((i * i * i)
            + " ");

        i++;
    }
}

// Driver Code

    let N = 4;

    // Function Call
    findNumbers(N);

// This code is contributed by Manoj.
</script>

Output: 

1 8 27 64

业绩分析:

  • 时间复杂度:和上面的方法一样,我们正在寻找 N 个数的完美立方,因此需要 O(N) 时间。
  • 辅助空间复杂度:和上面的方法一样,没有使用额外的空间;因此辅助空间的复杂性将是 O(1)