Highlight current post from custom post type in sidebar

I found this code (thank you!) in this thread for highlighting the current post in a category list.

[Code moderated as per the Forum Rules. Please use the pastebin]

Can anyone help me adapt this for use with highting the current post from a custom post type list. This is what I have in my sidebar.

<?php
  query_posts( array( 'post_type' => 'events') );
  if ( have_posts() ) : while ( have_posts() ) : the_post();
?>
  <li>
     <a href="<?php the_permalink(); ?>"><?php the_title(); ?></a>
  </li>

<?php endwhile; endif; wp_reset_query(); ?>

I need <li class='current'> when on the single post page.