Учебники

56) Проверьте номер Армстронга

Ноябрь 27, 2019

Что такое номер Армстронга?

В числе Армстронга сумма степеней отдельных цифр равна самому числу.

Другими словами, справедливо следующее уравнение 

xy..z = xn + yn+.....+ zn

n — количество цифр в номере

Например, это трехзначное число Армстронга 

370 = 33 + 73 + o3
 = 27 + 343 + 0
 = 370

Примеры чисел Армстронга 

 0, 1, 4, 5, 9, 153, 371, 407, 8208, etc.

Давайте напишем это в программе:

Java-программа, чтобы проверить, является ли число Армстронг номер

  1. //ChecktempNumber is Armstrong or not using while loop
  2. package com.guru99;
  3.  
  4. public class ArmstrongNumber {
  5.  
  6. 	public static void main(String[] args) {
  7. 		
  8. 		 int inputArmstrongNumber = 153; //Input number to check armstrong  
  9. 		 int tempNumber, digit, digitCubeSum = 0;
  10.  
  11. 	       tempNumber = inputArmstrongNumber;
  12. 	        while (tempNumber != 0)
  13. 	        {
  14. 	        	
  15. 	        	/* On each iteration, remainder is powered by thetempNumber of digits n
  16. 	        	 */
  17. 	            System.out.println("Current Number is "+tempNumber);
  18. 	            digit =tempNumber % 10;
  19. 				System.out.println("Current Digit is "+digit);
  20. 	            //sum of cubes of each digits is equal to thetempNumber itself
  21. 	            digitCubeSum = digitCubeSum + digit*digit*digit;
  22. 				System.out.println("Current digitCubeSum is "+digitCubeSum);
  23. 	            tempNumber /= 10;
  24. 	           
  25. 	        }
  26.  
  27. 	        //check giventempNumber and digitCubeSum is equal to or not 
  28. 	        if(digitCubeSum == inputArmstrongNumber)
  29. 	            System.out.println(inputArmstrongNumber + " is an Armstrong Number");
  30. 	        else
  31. 	            System.out.println(inputArmstrongNumber + " is not an Armstrong Number");
  32.  
  33. 	}
  34.  
  35. }

Вывод 

Current Number is 153
Current Digit is 3
Current digitCubeSum is 27
Current Number is 15
Current Digit is 5
Current digitCubeSum is 152
Current Number is 1
Current Digit is 1
Current digitCubeSum is 153
153 is an Armstrong Number

Java-программа для печати чисел Армстронга от 0 до 999 

  1. //ChecktempNumber is Armstrong or not using while loop
  2. package com.guru99;
  3.  
  4. public class ArmstrongNumber {
  5.  
  6.     public static void main(String[] args) {
  7.         int tempNumber, digit, digitCubeSum;
  8.  
  9.         for (int inputArmstrongNumber = 0; inputArmstrongNumber < 1000; inputArmstrongNumber++) {
  10.             tempNumber = inputArmstrongNumber;
  11.             digitCubeSum = 0;
  12.             while (tempNumber != 0) {
  13.  
  14.                 /* On each iteration, remainder is powered by thetempNumber of digits n
  15.                  */
  16.  
  17.                 digit = tempNumber % 10;
  18.  
  19.                 //sum of cubes of each digits is equal to thetempNumber itself
  20.                 digitCubeSum = digitCubeSum + digit * digit * digit;
  21.  
  22.                 tempNumber /= 10;
  23.  
  24.             }
  25.  
  26.             //check giventempNumber and digitCubeSum is equal to or not 
  27.             if (digitCubeSum == inputArmstrongNumber)
  28.                 System.out.println(inputArmstrongNumber + " is an Armstrong Number");
  29.  
  30.         }
  31.  
  32.     }
  33.  
  34. }

Вывод 

0 is an Armstrong Number
1 is an Armstrong Number
153 is an Armstrong Number
370 is an Armstrong Number
371 is an Armstrong Number
407 is an Armstrong Number

 

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