The performance was filmed by ten hidden cameras as part of a new "Life's for sharing" push for the brand, created by Saatchi & Saatchi.
One dancer got the routine underway, with others joining in as music from the station's Tannoy progressed through different genres.
Footage from the shoot was edited in time for the campaign's launch during Friday's coverage of Celebrity Big Brother on Channel 4.
The three-minute spot featured shots of the dancers alongside bemused members of the public, some of whom were filming the event on their mobile phones.
To see behind-the-scenes footage from the shoot, along with interviews with Saatchi & Saatchi creatives, visit brandrepublic.com/campaign.