You can apply CSS styling to SVG Elements. Needless to say, this requires a suitable markup. So for instance, if your map looks something like (VERY simplified :-)
<svg>
<g id="USA">...</g>
<g id="UK">...</g>
</svg>
You could simply do the following:
var country = document.getElementById("UK");
country.setAttribute("style", "fill: blue; stroke: black");
Of course it is also possible to embed stylesheets into an SVG document:
<svg>
<defs>
<style type="text/css">
<![CDATA[
// insert CSS rules here
]]>
</style>
</defs>
</svg>
And finally, it is also possible to include an external stylesheet into an SVG document:
<?xml version="1.0" standalone="no"?>
<?xml-stylesheet href="style.css" type="text/css"?>
<svg>
...