Just set the domain
and path
attributes on your cookie, like:
<script type="text/javascript">
var cookieName="HelloWorld";
var cookieValue="HelloWorld";
var myDate = new Date();
myDate.setMonth(myDate.getMonth() + 12);
document.cookie = cookieName +"=" + cookieValue + ";expires=" + myDate
+ ";domain=.example.com;path=/";
</script>