Apply function to multiple IDs

I have a function that makes the navigation menu sticky. When I want to use this function for more navigation menus, do I have to copy the whole function custom_script2, or can I add more nav_menu ID’s to the same function? For instance, I would also like this function to apply for #nav_menu-16

function custom_script(){
  ?>
  <script>
(function ($) {
  function a() {
    $(window).scroll(function (e) {
      var $sticky = $('#nav_menu-10');
      var position = ($sticky.css('position') == 'fixed');
      if ($(this).scrollTop() > 100 && !position) {
        $sticky.css({ 'position': 'fixed', 'top': '150px', 'width': $sticky.innerWidth() });
        $sticky.next().css('float', 'right');
        $sticky.addClass('fixed_element_style');
      }
      if ($(this).scrollTop() < 100 && position) {
        $sticky.css({ 'position': 'static', 'top': '0px', 'width': '' });
        $sticky.next().css('float', 'left');
        $sticky.removeClass('fixed_element_style');
      }
    });
  }

  a();
})(jQuery);
</script>
<?php
}
add_action('wp_footer', 'custom_script');