The best way to train for martial arts is to do basic strength and conditioning alongside your chosen art. Basic conditioning means a mix of slower/longer runs with sprints. Basic strength training means fundamental resistance exercises (squats, lunges, deadlifts, pull-ups, pressing motions) using something like a barbell or dumbbells. This changes only slightly depending on one's chosen art until one is quite strong and well-conditioned.
I don't want to train running 1h. Running 1h I will improve my cardio, but this look like unnecessary because my fight is about 10min.
Being able to run for a long time will help you with fighting for 10 minutes. Only running long distances would become counterproductive, but you should be able to run a 5k. Having good cardio allows you to train harder in the gym and the dojo.
I don't want to do 4 sessions of 10 (normal set in the gym) reps with 100kg in a bench press ( doesn't matter the exercise ) because in a fight possible I will need do 100 reps with a guy of my weight or 1 repetition with a guy of 200kg.
Strength is a general attribute. Training 4 sets of 10 reps, or 3 sets of 5 reps, or 10 sets of 1 rep all contributes to me becoming stronger in that movement. Being stronger helps with everything, including your "100 reps of a guy my weight" and "1 repetition of a 200kg guy" scenarios. Use a basic strength program to get strong before worrying about specializing.
A good general program that fits well with martial arts training is Jim Wendler's 5/3/1. The program can be tailored in many ways to work around a martial art schedule. The basic idea is that you train one barbell lift a day (either the squat, deadlift, bench press, overhead press), then you use whatever energy you have left to train a small handful of assistance exercises like pull-ups, push-ups, or sprints.
Another great option is Ross Enamait's Infinite Intensity, which focuses on frequent training that mixes strength work with conditioning.