Copy products from one category to another in Magento

Hi sometime we need to copy the products from one caegory to another in magento , but by default there is no such option like this in magento. So we can do this programatically with the below code




<?php
$category = Mage::getModel('catalog/category');
$category->load('2'); // Preset category id
$collection = $category->getProductCollection();
$collection->addAttributeToSelect('*');
foreach ($collection as $product) {
$product->getId();// Now get category ids and add a specific category to them and save?
$categories = $product->getCategoryIds();
$categories[] = 3; // Category to add
$product->setCategoryIds($categories);
$product->save();

}