Like his previous films 'Nikita' and 'Leon', Luc Besson's "Lucy" has a female protagonist played by Scarlett Johansson who gets trapped into the murky dealings of drug mafia and accidentally Lucy gets extraordinary powers which are not possessed by normal human beings as normal people use just 10 % of their brain where as Lucy gradually increases the utility rate of her brain to the greater good of sharing knowledge to the next generations.
The above plot may not come closer to any of Luc Besson's previous works but "Lucy" has Besson's signature where Sci-Fi elements gets involved with nature. "Lucy" has the style of Luc Besson approach, its just that here we have a Sci-Fi element.