Any problem if use the charger with the current lower than the original one of smartphone ?

thank HKJ for your quicl reply.
as I faced an issue (like you mentioned above) that 1A charger still tried to provide more than 1A (1.1 or 1.2A), as my check by usb metter, I saw the current often change from 0.7A in few secs, then increase to 0.9-1A in another few secs, and some time keeps up to 1.1-1.2A. the current ouput not stay at a fix value, just change from 0.7A to 1.2A in charging time. Is it not good right ?

If the voltage drops below 4.8 volt (or something like that) when the current goes up, the charger is overloaded, but a smart phone ought to notice it and keep the current down.
If the voltage stays above 4.8V it is the phones charge algorithm that includes the current changes.

Many thank HKJ, it is clear.

Thank You HKJ. That's helpful.

slmjim