JSFiddle - React, Tailwind, and code Playground

HTML

<header>
</header>
<body>
<ul class = 'contentMenu jsGeneralNavigation'>
<li>Menu Item 1</li>
<li>Drop Down Menu 1
<ul>
<li>Empty Item</li>
<li>
<select>
<option value ='Option 1'>Option 1</option>
<option value ='Option 2'>Option 2</option>
<option value ='Option 3'>Option 3</option>    
</select>
</li>
<li>Empty Item</li>
</ul>
</li>
 </ul>    
<br/><br/><br/><br/><br/><br/><br/><br/>    
<p style = 'clear:both; margin-top:50px'>1. Select the "Drop down menu 1"</p>
<br/><br/>     
<p>2. Try and select a option from the select. As soon as you try and select an option the menu will disappear.</p>   
</body>

CSS

/******************************************************
* CSS Reset
* http://meyerweb.com/eric/tools/css/reset/ 
* v2.0 | 20110126
******************************************************/
html, body, div, span, applet, object, iframe,
h1, h2, h3, h4, h5, h6, p, blockquote, pre,
a, abbr, acronym, address, big, cite, code,
del, dfn, em, img, ins, kbd, q, s, samp,
small, strike, strong, sub, sup, tt, var,
b, u, i, center,
dl, dt, dd, ol, ul, li,
fieldset, form, label, legend,
table, caption, tbody, tfoot, thead, tr, th, td,
article, aside, canvas, details, embed, 
figure, figcaption, footer, header, hgroup, 
menu, nav, output, ruby, section, summary,
time, mark, audio, video {
	margin: 0;
	padding: 0;
	border: 0;
	font-size: 100%;
	font: inherit;
	vertical-align: baseline;
}

/* HTML5 display-role reset for older browsers */
article, aside, details, figcaption, figure, 
footer, header, hgroup, menu, nav, section {
	display: block;
}

body {
	line-height: 1;
}

ol, ul {
	list-style: none;
}

blockquote, q {
	quotes: none;
}

blockquote:before, blockquote:after,
q:before, q:after {
	content: '';
	content: none;
}

table {
	border-collapse: collapse;
	border-spacing: 0;
}
/*************************************************************
* End CSS Reset
*************************************************************/

ul.contentMenu li {
    float: left;
	position: relative;    
    list-style: none;
    text-align: center;    
    color: #000;
    cursor: default;
    display: block;
    font-size: 12px;
    text-decoration: none;
	padding:5px;
	border-radius: 3px 3px 0px 0px;
	border: 1px #ddd solid;
	border-bottom:0px;
    background-color: #F0F0F0;
    margin-right: 5px;
}

ul.contentMenu li.pesudoClassHover  {
    background-color: #ddd;
}

ul.contentMenu ul {
	z-index: 10;
	display: none;
	position: absolute;
	top: 22px;
	left: -1px;
    box-shadow: 5px 5px 5px #aaa;
    border-top:1px solid #ddd;
    border-top-right-radius: 3px;  
    border-bottom-left-radius: 3px;
 ...

JavaScript

$(document).ready(function() 
{
		//Javascript for desktop navigation
		$('ul.jsGeneralNavigation > li').on('mouseover', function() 
		{					
                $(this).addClass('pesudoClassHover');
                $(this).children('ul').show();
                console.log("Show Menu");
		});   

		//Javascript for desktop navigation
		$('ul.jsGeneralNavigation > li').on('mouseleave', function() 
		{
            if(e.target.tagName.toLowerCase() != "select") {
                $(this).removeClass('pesudoClassHover');
                $(this).children('ul').hide();
                console.log("Hide Menu");
            }
		});	  
});