# 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:**

does intersection contains duplicate values ,if not then this logic may be wrong for this condition :

n1=6

n2=4

arr1=1,5,6,9,8,5

arr2=8,9,5,1

then their output will be 1,5,9,8,5 and here 5 comes two times.