cigarette
The French word 'cigarette' is used exactly like the English word 'cigarette'. It refers to a thin cylinder of finely cut tobacco rolled in paper for smoking. This word is used in a similar context as in English, for instance, in sentences such as 'May I have a cigarette?' would translate as 'Puis-je avoir une cigarette?'
Do you have a cigarette?
This is a question in French asking if the person has a cigarette. Note, 'Avez-vous' is a polite way of saying 'Do you have' in French.
She crushed her cigarette.
In this sentence, the verb 'écrasé' signifies 'crushed'. It demonstrates an action done by a woman (Elle) to her cigarette.
I don't like the smell of cigarette.
Here, 'Je n'aime pas' is used to express a dislike for something. The phrase 'l'odeur de la cigarette' means 'the smell of the cigarette'.