A prebuilt version of highlight.js is hosted at Yandex and you can just link to it directly:
<link rel="stylesheet" href="http://yandex.st/highlightjs/7.5/styles/default.min.css"> <script src="http://yandex.st/highlightjs/7.5/highlight.min.js"></script>
It includes commonly used languages (listed below in the download form).
For available style names look into the highlight.js styles directory (and don't forget to add ".min" before ".css").
You can download a custom bundle including only the languages you need.
npm install highlight.js
Alternatively, you can build it from the source:
python3 tools/build.py -tnode
Current source is available on GitHub
How to use it
Refer to the usage document.