Custom Post type register current menu item

Hi,

I have many custom post types on my website. However, I can only get the ancestor menu item highlighted when I copy and paste the following code:

function nav_parent_class($classes, $item) {
    $cpt_name = 'products';
    $parent_slug = 'products';

    if ($cpt_name == get_post_type() && !is_admin()) {
        global $wpdb;

        // get page info (we really just want the post_name so it can be compared to the post type slug)
        $page = get_page_by_title($item->title, OBJECT, 'page');

        // check if slug matches post_name
        if( $page->post_name == $parent_slug ) {
            $classes[] = 'current_page_parent';
        }

    }

    return $classes;
}

add_filter('nav_menu_css_class', 'nav_parent_class', 10, 2);

However, i need to keep copy and pasting each time i add a new custom post type. Can i make it more dynamic?