Merge pull request matthewsamuel95#70 from Bing18/new-branch

Added lcs in cpp

Author: matthewsamuel95

DP/LongestCommonSubsequence/LCS.cpp

@@ -0,0 +1,32 @@
+
+#include <iostream>
+#include <string>
+#include <algorithm>
+using namespace std;
+
+int lcs(string a,string b){
+	int l1=a.size();
+	int l2=b.size();
+	//2d array for bottom-up dp
+	int dp[l1+1][l2+1];
+
+	for(int i=0;i<=l1;i++){
+		for(int j=0;j<=l2;j++){
+			if(!i || !j)
+				dp[i][j]=0;
+			else if(a[i-1] == b[j-1]){
+				dp[i][j] = dp[i-1][j-1] + 1;
+			}
+			else{	
+				dp[i][j]=max(dp[i-1][j],dp[i][j-1]);
+			}
+		}
+	}
+	return dp[l1][l2];
+}
+int main() {
+	string a,b;
+	cin>>a>>b;
+	cout<<lcs(a,b)<<endl;
+	return 0;
+}