探索“间谍数”：数字位数之和与积相等的奥秘

在数字的世界里，存在一类非常特殊的数，它们被称为“间谍数”。如果一个数的所有数位之和等于所有数位之积，那么我们就称这个数为间谍数。让我们一起来探索这个有趣的数学概念，并看看如何在代码中识别它们。

示例解析：

> 输入： 1412

> 输出： 是间谍数

> 解释：

> 位数之和 = (1 + 4 + 1 + 2) = 8

> 位数之积 = (1 4 1 * 2) = 8

> 因为，和 == 积 == 8

> 输入： 132

> 输出： 是间谍数

> 解释：

> 位数之和 = (1 + 3 + 2) = 6

> 位数之积 = (1 3 2) = 6

> 因为，和 == 积 == 6

下面，我们将通过多种编程语言来实现这一逻辑，展示如何通过代码来“侦测”这些间谍数。

C++ 实现

// CPP program to check
// a spy number
#include 
using namespace std;

// Function to 
// check spy number
bool checkSpy(int num)
{
    int digit, sum = 0, 
        product = 1;
    while (num > 0) 
    {
        digit = num % 10;
        
        // getting sum of digits
        sum += digit; 
        
        // getting product of digits
        product *= digit; 
        num = num / 10;
    }
    
    if (sum == product)
        return true;
    else
        return false;
}

// Driver code
int main()
{
    int num = 1412;
    if (checkSpy(num))
        cout << "The number is " 
             << "a Spy number"
             << endl;
    else
        cout << "The number is "
             << "NOT a spy number"
             << endl;
    return 0;
}

Java 实现

// Java program to 
// check Spy number
import java.util.*;

class GFG 
{
    
    // boolean function to 
    // check Spy number
    static boolean checkSpy(int input)
    {

        int digit, sum = 0, 
               product = 1;
        while (input > 0)
        {
            digit = input % 10;
            
            // getting the
            // sum of digits
            sum += digit; 
            
            // getting the product
            // of digits
            product *= digit; 
            input = input / 10;
        }
        
        // Comparing the 
        // sum and product
        if (sum == product)
            return true;
        else
            return false;
    }
    
    // Driver code
    public static void main(String args[])
    {
        int input = 1412;
        if (checkSpy(input))
            System.out.println("The number is "+
                                "a Spy number");
        else
            System.out.println("The number is "+
                            "NOT a Spy number");
    }
}

Python3 实现

# Python program to check
# Spy number

# Function to check
# Spy number
def checkSpy(num):
    sums = 0
    product = 1
    while num>0:
        digit = num % 10
        
        # getting the 
        # sum of digits
        sums = sums + digit
        
        # getting the product
        # of digits
        product = product * digit
        num = num // 10
        
    if sums == product:
        return True
    else:
        return False

# Driver Code
num = 1412
if (checkSpy(num)):
    print("The number is a Spy Number")
else:
    print("The number is NOT a spy number")

C# 实现

// C# program to check 
// Spy number
using System;

class GFG 
{

    // boolean function to 
    // check Spy number
    static bool checkSpy(int input)
    {

        int digit, sum = 0, 
               product = 1;
        while (input > 0) 
        {
            digit = input % 10;

            // getting the sum
            // of digits
            sum += digit;

            // getting the product
            // of digits
            product *= digit;
            input = input / 10;
        }

        // Comparing the sum
        // and product
        if (sum == product)
            return true;
        else
            return false;
    }

    // Driver code
    public static void Main()
    {
        int input = 1412;
        if (checkSpy(input))
            Console.WriteLine("The number is " +
                                "a Spy number");
        else
            Console.WriteLine("The number is " +
                            "NOT a Spy number");
    }
}

// This code is Contributed by vt_m.

PHP 实现

 0) 
    {
        $digit = $num % 10;
        
        // getting sum 
        // of digits
        $sum += $digit; 
        
        // getting product
        // of digits
        $product *= $digit; 
        $num = $num / 10;
    }
    
    if ($sum == $product)
        return 1;
    else
        return -1;
}

// Driver code
$num = 1412;
if (checkSpy($num))
    echo "The number is a ".
          "Spy number","
";
    
else
    echo "The number is NOT ". 
          "a spy number","
";

// This code is contributed by ajit.
?>

JavaScript 实现

“`javascript

// Javascript program to check

// a spy number

// Function to

// check spy number

function checkSpy(num)

{

let digit, sum = 0,

product = 1;

while (num > 0)

{

digit = num % 10;