# Program to check if all the numbers of an array can be made equal | faceprep

Let us assume an array arr[]. We need to check if all the numbers of an array can be equalized to a particular number. In a single operation, any element of the array can be either multiplied by 2 or by 3. If it’s possible to make all the array elements equal with the given operation then print Yes else print No.

Example:

Input:
3
50 75 100

Output:
Yes  -> {50 * 2 * 3, 75 * 2 * 2, 100 * 3} = {300, 300, 300}

Input:
2
10 14

Output:
No

## Algorithm:

To make the elements of an array all equal,

• Start traversing the array and check if the number is divisible by 2.
• If it is divisible, divide the array element by 2.
• Similarly, check if the array element is divisible by 3.
• If it is divisible, divide the array element by 3.
• Then, check the remaining elements with the first element of the array.
• If they are equal, the array can be equalized.

## Program to check if all the numbers of an array are equal

// C program to check if all the  numbers of an array are equal

#include <stdio.h>

int make_equal(int a[], int n)
{
int flag = 1;
for (int i = 0; i < n; i++)
{
// Divide number by 2
while (a[i] % 2 == 0)
a[i] /= 2;
// Divide number by 3
while (a[i] % 3 == 0)
a[i] /= 3;
}

// Remaining numbers
for (int i = 1; i < n; i++)
{
if (a[i] != a)
{
flag = 0 ;
}
return flag;
}
}

int main()
{
int n, i;
scanf(“%d”, &n);
int a[n];
for(i=0; i<n; i++)
scanf(“%d”, &a[i]);
if (make_equal(a, n) == 1)
printf(“Yes”);
else
printf(“No”);
return 0;
}

// C++ program to check if all the numbers of an array are equal

#include <bits/stdc++.h>
using namespace std;
bool make_equal(int a[], int n)
{
for (int i = 0; i < n; i++) {

// Divide number by 2
while (a[i] % 2 == 0)
a[i] /= 2;

// Divide number by 3
while (a[i] % 3 == 0)
a[i] /= 3;
}

// Remaining numbers
for (int i = 1; i < n; i++)
if (a[i] != a) {
return false;
}

return true;
}
int main()
{
int a, n, i;
cin>>n;
for(i=0; i<n; i++)
cin>>a[i];

if (make_equal(a, n))
cout << “Yes”;
else
cout << “No”;

return 0;
}

// Java program to check if all the numbers of an array are equal

import java.util.*;
public class Main
{
public static boolean make_equal(int a[], int n)
{
for (int i = 0; i < n; i++)
{
// Divide number by 2
while (a[i] % 2 == 0)
a[i] /= 2;

// Divide number by 3
while (a[i] % 3 == 0)
a[i] /= 3;
}
// Remaining numbers
for (int i = 1; i < n; i++)
if (a[i] != a)
{
return false;
}
return true;
}

public static void main (String[] args)
{
Scanner sc = new Scanner(System.in);
int num,i;
System.out.println(“Enter the number of entries: “);
num = sc.nextInt();
int a[] = new int[num];
System.out.println(“Enter the elements: “);
for(i=0; i<num; i++)
{
a[i] = sc.nextInt();
}
if (make_equal(a, num))
System.out.println(“Yes”);
else
System.out.println(“No”);
}

}

# Python program to check if all the elements in an array are equal

def make_equal(a,n):
for i in range (n):
while (a[i]%2 == 0):
a[i] = a[i]/2

while (a[i]%3 == 0):
a[i] = a[i]/3

for i in range (n):
if a[i] != a:
return False
return True
num = int(input(“Enter the number of entries: “))
arr = []
for i in range(num):
arr.append(int(input(“Enter the element:”)))
if make_equal(arr, num):
print(“Yes”)
else:
print(“No”)

Output:  