解题思路：

动态规划

class Solution {public int longestCommonSubsequence(String text1, String text2) {int m = text1.length(), n = text2.length();int[][] dp = new int[m + 1][n + 1];for (int i = 1; i <= m; i++) {char c1 = text1.charAt(i - 1);for (int j = 1; j <= n; j++) {char c2 = text2.charAt(j - 1);if (c1 == c2) {dp[i][j] = dp[i - 1][j - 1] + 1;} else {dp[i][j] = Math.max(dp[i - 1][j], dp[i][j - 1]);}}}return dp[m][n];}
}