This is a Java Program to Implement Longest Common Subsequence Algorithm. This program finds the longest common subsequence between two strings.

Here is the source code of the Java Program to Implement Longest Common Subsequence Algorithm. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

`/**`

`** Java Program to implement Longest Common Subsequence Algorithm`

`**/`

import java.io.BufferedReader;

import java.io.InputStreamReader;

import java.io.IOException;

`/** Class LongestCommonSubsequence **/`

public class LongestCommonSubsequence

`{`

`/** function lcs **/`

public String lcs(String str1, String str2)

`{`

int l1 = str1.length();

int l2 = str2.length();

int[][] arr = new int[l1 + 1][l2 + 1];

for (int i = l1 - 1; i >= 0; i--)

`{`

for (int j = l2 - 1; j >= 0; j--)

`{`

if (str1.charAt(i) == str2.charAt(j))

arr[i][j] = arr[i + 1][j + 1] + 1;

`else`

arr[i][j] = Math.max(arr[i + 1][j], arr[i][j + 1]);

`}`

`}`

int i = 0, j = 0;

StringBuffer sb = new StringBuffer();

while (i < l1 && j < l2)

`{`

if (str1.charAt(i) == str2.charAt(j))

`{`

sb.append(str1.charAt(i));

`i++;`

`j++;`

`}`

else if (arr[i + 1][j] >= arr[i][j + 1])

`i++;`

`else`

`j++;`

`}`

return sb.toString();

`}`

`/** Main Function **/`

public static void main(String[] args) throws IOException

`{`

BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

System.out.println("Longest Common Subsequence Algorithm Test\n");

System.out.println("\nEnter string 1");

String str1 = br.readLine();

System.out.println("\nEnter string 2");

String str2 = br.readLine();

LongestCommonSubsequence obj = new LongestCommonSubsequence();

String result = obj.lcs(str1, str2);

System.out.println("\nLongest Common Subsequence : "+ result);

`}`

`}`

Longest Common Subsequence Algorithm Test Enter string 1 longestcommonsubsequence Enter string 2 dynamicprogramming Longest Common Subsequence : ncommn Longest Common Subsequence Algorithm Test Enter string 1 alphabetagamma Enter string 2 applemangopineapple Longest Common Subsequence : apeaga

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