Objective c 如何在mac app中获得屏幕分辨率的纵横比

我试图得到屏幕分辨率的纵横比，下面是我的代码，从中我可以得到宽度高度和刷新率

-(void)getSupportedDisplays{

    NSArray* theref  =  (__bridge NSArray *)(CGDisplayCopyAllDisplayModes ( CGMainDisplayID(), nil ));

    NSMutableArray * rezes = [[NSMutableArray  alloc]init];

    for (id aMode  in theref) {
        CGDisplayModeRef  thisMode = (__bridge CGDisplayModeRef)(aMode);
        size_t theWidth = CGDisplayModeGetWidth( thisMode );
        size_t theHeight = CGDisplayModeGetHeight( thisMode );
        double refresh = CGDisplayModeGetRefreshRate(thisMode);
        NSString *theRez = [NSString stringWithFormat:@"%zux%zu %d Hz",theWidth,theHeight,(int)refresh];

        if (![rezes containsObject:theRez]) {
            [rezes addObject:theRez];
        }
    }

    NSLog(@" display deatails = %@", rezes);


}

我希望每个分辨率的纵横比都像这样

有什么建议吗

---

提前感谢

你可以从宽度和高度得到纵横比，你所需要的只是找到宽度和高度的最大公因数

static int gcd (int a, int b) {
    return (b == 0) ? a : gcd (b, a%b);
}

这将返回最大的共同因素

  int commanDivideFactor = gcd(theWidth, theHeight);

  NSLog(@"%d : %d", theWidth/commanDivideFactor, theHeight/commanDivideFactor);