I'm using a code snippet I found here to list all the categories that a product is listed in on the product page.
<ul>
<?php $categories = $_product->getCategoryIds(); ?>
<?php foreach($categories as $k => $_category_id): ?>
<?php $_category = Mage::getModel('catalog/category')->load($_category_id) ?>
<?php if($_category->getIsActive()): ?>
<li><a href="<?php echo $_category->getUrl() ?>"><?php echo $_category->getName() ?></a></li>
<?php endif; ?>
<?php endforeach; ?>
</ul>
However, I'm realizing that the list can get a bit unruly and not really necessary. How can I adapt this code to only show the child categories the product belongs to. I might even need to take it a step further and only show the LAST child categories the product belongs to. Any help?