According to HitmanPro, the website has been injected with malicious iFrames that lead to one of several compromised sites equipped with Java and PDF exploits.
It seems that upon successful exploitation of one of the vulnerabilities, the users are saddled with variants of the Citadel info-stealing Trojan that currently aren't detected by many AV solutions.
The server with which the malware communicates has already been sinkholed. Nevertheless, if you have visited the news outlet's website today, and your AV hasn't picked up on anything, use a new one to double check - preferably one of these that at the moment do.
Visiting the NBC's website is, for the time being, still dangerous, and even Facebook has moved to protect its users by not allowing the posting of the site's URL.
Danchev has tied the campaign with two previous email ones that impersonated Facebook and Verizon.
UPDATE: NBC has announced that their main website and the other web properties that have been injected with the malicious iFrames have been cleaned.