How to Run a Loop Outside of your WordPress website

First you must includes WordPress basic functions:

  // Include WordPress
  define('WP_USE_THEMES', false);

  global $wpdb;
  require('/server/path/to/your/wordpress/site/htdocs/blog/wp-blog-header.php');
  query_posts('showposts=1');

And then run your loop on any PHP file even OUTSIDE your WordPress website.

<?php while (have_posts()): the_post(); ?>
   <h2><?php the_title(); ?></h2>
   <?php the_excerpt(); ?>
   <p><a href="<?php the_permalink(); ?>" class="red">Read more...</a></p>
<?php endwhile; ?>