para optimizar um javascript

Olá amigos

Criei um menu dinâmico utilizando javascript, mas achei que o código ficou meio grande, gostaria de uma ajuda para optimizar este código, agradeço desde já.

O que o javascript faz é esconder ou mostrar uma DIV no evento mouseOver.

<script language="JavaScript" type="text/JavaScript"><!--function ShowLinkA(){document.getElementById("LinkAx").style.display = "block";document.getElementById("LinkBx").style.display = "none";document.getElementById("LinkCx").style.display = "none";document.getElementById("LinkDx").style.display = "none";document.getElementById("LinkEx").style.display = "none";document.getElementById("LinkFx").style.display = "none";document.getElementById("LinkGx").style.display = "none";document.getElementById("LinkHx").style.display = "none";}function ShowLinkB(){document.getElementById("LinkAx").style.display = "none";document.getElementById("LinkBx").style.display = "block";document.getElementById("LinkCx").style.display = "none";document.getElementById("LinkDx").style.display = "none";document.getElementById("LinkEx").style.display = "none";document.getElementById("LinkFx").style.display = "none";document.getElementById("LinkGx").style.display = "none";document.getElementById("LinkHx").style.display = "none";}function ShowLinkC(){document.getElementById("LinkAx").style.display = "none";document.getElementById("LinkBx").style.display = "none";document.getElementById("LinkCx").style.display = "block";document.getElementById("LinkDx").style.display = "none";document.getElementById("LinkEx").style.display = "none";document.getElementById("LinkFx").style.display = "none";document.getElementById("LinkGx").style.display = "none";document.getElementById("LinkHx").style.display = "none";}function ShowLinkD(){document.getElementById("LinkAx").style.display = "none";document.getElementById("LinkBx").style.display = "none";document.getElementById("LinkCx").style.display = "none";document.getElementById("LinkDx").style.display = "block";document.getElementById("LinkEx").style.display = "none";document.getElementById("LinkFx").style.display = "none";document.getElementById("LinkGx").style.display = "none";document.getElementById("LinkHx").style.display = "none";}function ShowLinkE(){document.getElementById("LinkAx").style.display = "none";document.getElementById("LinkBx").style.display = "none";document.getElementById("LinkCx").style.display = "none";document.getElementById("LinkDx").style.display = "none";document.getElementById("LinkEx").style.display = "block";document.getElementById("LinkFx").style.display = "none";document.getElementById("LinkGx").style.display = "none";document.getElementById("LinkHx").style.display = "none";}function ShowLinkF(){document.getElementById("LinkAx").style.display = "none";document.getElementById("LinkBx").style.display = "none";document.getElementById("LinkCx").style.display = "none";document.getElementById("LinkDx").style.display = "none";document.getElementById("LinkEx").style.display = "none";document.getElementById("LinkFx").style.display = "block";document.getElementById("LinkGx").style.display = "none";document.getElementById("LinkHx").style.display = "none";}function ShowLinkG(){document.getElementById("LinkAx").style.display = "none";document.getElementById("LinkBx").style.display = "none";document.getElementById("LinkCx").style.display = "none";document.getElementById("LinkDx").style.display = "none";document.getElementById("LinkEx").style.display = "none";document.getElementById("LinkFx").style.display = "none";document.getElementById("LinkGx").style.display = "block";document.getElementById("LinkHx").style.display = "none";}function ShowLinkH(){document.getElementById("LinkAx").style.display = "none";document.getElementById("LinkBx").style.display = "none";document.getElementById("LinkCx").style.display = "none";document.getElementById("LinkDx").style.display = "none";document.getElementById("LinkEx").style.display = "none";document.getElementById("LinkFx").style.display = "none";document.getElementById("LinkGx").style.display = "none";document.getElementById("LinkHx").style.display = "block";}}//--></script>