jQuery UI Datepicker on copied html elements with datepickers

I have a form in which a user can add a set of fields dynamically as needed. The code for that just copies the last entry and increments the counters in the field names (work around for my question here) The code follows:

$("#addBeneficiary").click(function(e) {
    e.preventDefault();
    var beneficiary = $(".beneficiary:last").clone();
    var count = parseInt(beneficiary.find("input:first").attr("id").match(/\d+/), 10);
    beneficiary.find("input").each(function(indx, element) { 
        var name = $(element).attr('name').replace(count, count+1),
            id   = $(element).attr('id').replace(count, count+1);
        $(element).attr('name', name);
        $(element开发者_JAVA技巧).attr('id', id);
        $(element).val(''); 
    });

    $("#beneficiaries").append(beneficiary);
    datepicker();
});

The last line datepicker(); is just a function that finds all input.datepicker and executes the jQuery UI datepicker() function to add date pickers to those fields. The problem I'm running into is this; the datepicker works fine on the first fields, but when they are dynamically added the datepicker doesn't pop up for the new fields.

I've traced the code execution with logging statements to ensure my datepicker() function is called after the append and that all works. Here is my datepicker() code

var datepicker = function() {
    $("input.datepicker").datepicker();
};

Does anyone know why this is not working as expected?

My guess is that it has to do with the clone. I know you can accomplish this with a live datepicker activation for they dynamically added elements. Try out this jsfiddle.

$("input.datepicker").live('focus', function(){
    var $this = $(this);
    if(!$this.data('datepicker')) $this.datepicker();
});