Algorithm
Problem Name: beecrowd | 1164
Problem Link: https://www.beecrowd.com.br/judge/en/problems/view/1164
Perfect Number
Adapted by Neilor Tonin, URI
Brazil
Timelimit: 1
In mathematics, a perfect number is an integer for which the sum of all its own positive divisors (excluding itself) is equal to the number itself. For example the number 6 is perfect, because 1+2+3 is equal to 6. Your task is to write a program that read integer numbers and print a message informing if these numbers are perfect or are not perfect.
Input
The input contains several test cases. The first contains the number of test cases N (1 ≤ N ≤ 100). Each one of the following N lines contains an integer X (1 ≤ X ≤ 108), that can be or not a perfect number.
Output
For each test case print the message “X eh perfeito” (X is perfect) or “X nao eh perfeito” (X isn't perfect) according with to above specification.
| Input Sample | Output Sample |
|
3 |
6 eh perfeito |
Code Examples
#1 Code Example with C++ Programming
Code -
C++ Programming
#include <iostream>
#include <iomanip>
using namespace std;
int main(){
int n;
cin >> n;
int a = 0;
int lista[n];
int numeros[n];
for(int i = 0; i < n; i++){
int num;
cin >> num;
numeros[i] = num;
for(int j = 1; j < num; j++){
if(num%j==0){
a+=j;
}
}
if(a == num){
lista[i] = true;
}
else{
lista[i] = false;
}
a = 0;
}
for(int l = 0; l < n; l++>{
lista[l] == true ? cout << numeros[l] << " eh perfeito" << "\n" : cout << numeros[l] << " nao eh perfeito" << "\n";
}
}
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Input
Output
#2 Code Example with Javascript Programming
Code -
Javascript Programming
const input = require('fs').readFileSync('/dev/stdin', 'utf8');
const lines = input.split('\n');
let n = Number(lines.shift());
let a = 0;
let lista = [];
let numeros = [];
for(var i = 0; i < n; i++){
let num = Number(lines.shift());
numeros.push(num);
for(var j = 1; j < num; j++){
if (num % j === 0){
a += j;
}
}
if(a === num){
lista.push(true);
}
else{
lista.push(false);
}
a = 0;
}
for(var l = 0; l < n; l++){
lista[l] === true ? console.log(`${numeros[l]} eh perfeito`): console.log(`${numeros[l]} nao eh perfeito`>;
}
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Input
Output
#3 Code Example with Python Programming
Code -
Python Programming
n = int(input())
a = 0
lista=[]
numeros = []
for i in range(0, n):
num = int(input())
numeros+=[num]
for j in range(1, num):
if num%j==0:
a+=j
if a == num:
lista+=[True]
else:
lista+=[False]
a = 0
for l in range(0, n):
print(f'{numeros[l]} eh perfeito') if lista[l] == True else print(f'{numeros[l]} nao eh perfeito')
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Input
Output