#include<bits/stdc++.h>

using namespace std;

#define int long long


int a,b,n;

bool isfit(int mid){
	return (mid/a)*(mid/b)>=n;
}

signed main(){
	cin>>a>>b>>n;
	int l=0,r=1;
	while(isfit(r)==false){
		r*=2;
	}
	while(r-l>1){
		int mid=l+(r-l)/2;
		if(isfit(mid)){
			r=mid;
		}
		else{
			l=mid;
		}
	}
        if(isfit(l)) cout<<l<<endl;
        else cout<<r<<endl;
}

#include<bits/stdc++.h>

using namespace std;

#define int long long


int a,b,n;

bool isfit(int mid){
	return (mid/a)*(mid/b)>=n;
}

signed main(){
	cin>>a>>b>>n;
	int l=0,r=1;
	while(isfit(r)==false){
		r*=2;
	}
	while(r-l>1){
		int mid=l+(r-l)/2;
		if(isfit(mid)){
			r=mid;
		}
		else{
			l=mid+1;
		}
	}
        cout<<l<<endl;
}