Possible Issue with Javascript Scroll Code

I’m having an issue on a site where the theme is not playing nicely with a plugin. Both use jquery. I’ve contacted the plugin developer and am contacting you as well. Hopefully we can figure out whose code is not properly constructed.

The code in question is:

// Adds javascript for scroll
add_action( 'genesis_after_footer', 'scroll_javascript' );
function scroll_javascript() { ?>
	<!-- SMOOTH SCROLL -->
	<script src="//ajax.googleapis.com/ajax/libs/jquery/1.10.2/jquery.min.js"></script>
	<script>
	$(function() {
	  $('a[href*=#]:not([href=#])').click(function() {
	    if (location.pathname.replace(/^\//,'') == this.pathname.replace(/^\//,'') && location.hostname == this.hostname) {
	      var target = $(this.hash);
	      target = target.length ? target : $('[name=' + this.hash.slice(1) +']');
	      if (target.length) {
	        $('html,body').animate({
	          scrollTop: target.offset().top
	        }, 1000);
	        return false;
	      }
	    }
	  });
	});
	</script>
	<!-- End of SMOOTH SCROLL -->
<?php
}