JSFiddle - React, Tailwind, and code Playground

HTML

<ul class="feeds" id="filesList">

    <li>
        <a href="http://file_folder/3604.jpg" target="_blank" class="fileLink">356458.e109abcc152f2536b969b32f6e8439e5</a>
        <span class="text-muted">DOC</span>
    </li>                                       
    <li>
        <a href="http://file_folder/3605.jpg" target="_blank" class="fileLink">357161.e4948db1d64c88b9396647aaa89a7f10</a>
        <span class="text-muted">jpg</span>
    </li>                                       
    <li>
        <a href="http://file_folder/3606.jpg" target="_blank" class="fileLink">357213.e109abcc152f2536b969b32f6e8439e5</a>
        <span class="text-muted">jpg</span>
    </li>   


   <form class="form-inline m-t-20" action="#" id="emailFile-form">

       <button href="#" type="submit" class="btn btn-default" id="emailFile_btn">SEND</button>
   </form>

</ul>

JavaScript

// ajax function
function ajaxSend(data) {
	/** insert ajax code here **/
  alert("links: "+data.join(","));
}
// get form element
var form = document.getElementById("emailFile-form");
// form controller
form.onsubmit = function(e){
  // stop form from sending
  e.preventDefault();
  var list = [];
  // grab all the links with class .fileLink
  var links = document.getElementsByClassName("fileLink");
  // put all links in the: list
  for (var i=0; i<links.length; i++)
  	list.push( links[i].href );
  // send the list by ajax function
  ajaxSend(list);	
};