You have to find the Longest common substring.
If the strings are not very long, I recommend using Tim's approach. Otherwise, this is a Javascript implementation of the Longest common substring algorithm with dynamic programming. The runtime is O(mn) where m and n are the lengths of the 2 strings respectively.
An example usage:
var first = "Here is a quick guide for the next time you reach for your favorite oil and some other topics";
var second = "favorite oil and some other topics can be based on something blah blah";
console.log(first.intersection(second)); // ["favorite oil and some other topic"]
This is the algorithm implementation. It returns an array of the longest common substring(s). Extended the native String class, so the intersect method is available on all strings.
String.prototype.intersection = function(anotherString) {
var grid = createGrid(this.length, anotherString.length);
var longestSoFar = 0;
var matches = [];
for(var i = 0; i < this.length; i++) {
for(var j = 0; j < anotherString.length; j++) {
if(this.charAt(i) == anotherString.charAt(j)) {
if(i == 0 || j == 0) {
grid[i][j] = 1;
}
else {
grid[i][j] = grid[i-1][j-1] + 1;
}
if(grid[i][j] > longestSoFar) {
longestSoFar = grid[i][j];
matches = [];
}
if(grid[i][j] == longestSoFar) {
var match = this.substring(i - longestSoFar + 1, i);
matches.push(match);
}
}
}
}
return matches;
}
Also need this helper function to create a 2d array with all elements initialize to 0.
// create a 2d array
function createGrid(rows, columns) {
var grid = new Array(rows);
for(var i = 0; i < rows; i++) {
grid[i] = new Array(columns);
for(var j = 0; j < columns; j++) {
grid[i][j] = 0;
}
}
return grid;
}