Find Intersection of Two Arrays in C++

In this tutorial, we will learn how to find the intersection of two arrays in C++. Before that let’s first understand what is array.

Array: is a derived data type that contains the same type of data. Like integer array stores values of only integer type, float array stores values of only float type.

Derived data type: is a data type that is defined by the user itself. Other derived data types are Structure, Class, Union, Enumeration, and Pointers.

The intersection of two arrays: is the set of all elements of A that also belong to B (or vice versa).

Example: 

Array1: { 1, 2, 3, 4, 5 }

Array2: { 4, 5, 6, 7, 8, 9, 10 }

The intersection of given two arrays: { 4, 5 }. Because elements 4 and 5 are common in both the arrays.

(*Note: Array should not contain 1 element twice.)

Program to Find Intersection of Two Arrays in C++

#include<iostream>
using namespace std;

int main()
{
  int n1,n2,i,j;
  cout<<"Enter the no. of elements of the 1st array: ";
  cin>>n1;
  
  /* declaring arr1 of size n1 */
  int arr1[n1];

  /* Enter distinct elements */
  cout<<"Enter the elements of the 1st array: ";
  for(i=0;i<n1;i++)
  {
    cin>>arr1[i];
  }
  
  cout<<"\nEnter the no. of elements of the 2nd array: ";
  cin>>n2;
  
  /* declaring arr2 of size n2 */
  int arr2[n2];

  /* Enter distinct elements */
  cout<<"Enter the elements of the 2nd array: ";
  for(i=0;i<n2;i++)
  {
    cin>>arr2[i];
  }
  
  /* printing elements that are common in both the arrays */
  cout<<"\nThe intersection of the two arrays: ";
  for(i=0;i<n1;i++)
  {
    for(j=0;j<n2;j++)
    {
      if(arr1[i]==arr2[j])
      {
        cout<<arr1[i]<<" ";
      }
    }
  }
  
  return 0;
}

Input/Output:

Enter the no. of elements of the 1st array: 5
Enter the elements of the 1st array: -4 1 3 0 8

Enter the no. of elements of the 2nd array: 8
Enter the elements of the 2nd array: 3 -7 -4 9 6 0 17 5

The intersection of the two arrays: -4 3 0

Time Complexity

O(n1*n2), where n1 is the no. of elements of the first array and n2 is no. of elements of the second array.

You may also read:

  1. Print all the Repeated Numbers with Frequency in an Array in C++
  2. Kruskal’s algorithm in C++

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