<?php
// enter the IDs of which categories you want to display
$display_categories = array(14);
foreach ($display_categories as $category) { ?>
    <div class="videoside">
      <?php query_posts("showposts=1&cat=$category");
        $wp_query->is_category = false;
        $wp_query->is_archive = false;
        $wp_query->is_home = false;
         ?>
      <h3><a href="<?php echo get_category_link($category);?>">
        <?php 
    // name of each category gets printed      
      single_cat_title(); ?>
        </a></h3>
      <?php while (have_posts()) : the_post(); ?>
      <a href="<?php the_permalink() ?>" rel="bookmark" title="Permanent Link to <?php the_title(); ?>"><?php the_title(); ?></a>
      <?php } ?>
      </a><br />
      <?php the_excerpt() ; ?>
      <?php endwhile; ?>
    </div>
    <?php } ?>