Dynamic Programming
[Leetcode 1143]. Longest Common Subsequence
public int longestCommonSubsequence(String text1, String text2) {
int[][] dp = new int[text1.length() + 1][text2.length() + 1];
for (int i = 0; i < text1.length(); ++i) {
for (int j = 0; j < text2.length(); ++j) {
if (text1.charAt(i) == text2.charAt(j)) {
dp[i + 1][j + 1] = dp[i][j] + 1;
} else {
dp[i + 1][j + 1] = Math.max(dp[i][j + 1], dp[i + 1][j]);
}
}
}
return dp[text1.length()][text2.length()];
}